5^-x = 6
Help ASAP
STEPS MUST.​

Answers

Answer 1

We have to Find:

The value of x

[tex] \sf \longmapsto5^{ - x }= 6[/tex]

Let's start.

Take Logarithm of both sides

[tex] \sf \longmapsto log(5^{-x}) = log(6) [/tex]

Solving Further

[tex] \sf \longmapsto - x \: log(5) = log(6)[/tex]

[tex] \sf \longmapsto - x = \dfrac{ log(6) }{ log(5) } [/tex]

Take the minus from (-x) and put in on log(6)

[tex] \sf \longmapsto \: x = \dfrac{ -log(6) }{ + log(5)} [/tex]

Done


Related Questions

Mr. quick bought new computer system. The regular price was 1,580 , but he got a 15% discount. How much did he actually pay?

Answers

Answer:

$1343

Step-by-step explanation:

The equation would be

x= 1580 (1-0.15)

x represents how much he actually pays.

1-0.15=0.85.

1580×0.85=1343

Derivative this Problem.

Answers

[tex]\\ \sf\longmapsto {\displaystyle{\lim_{x\to 1}}}\dfrac{x^2-1}{x-1}[/tex]

[tex]\\ \sf\longmapsto {\displaystyle{\lim_{x\to 1}}}\dfrac{x^2-1^2}{x-1}[/tex]

[tex]\\ \sf\longmapsto 2(1)^(2-1)[/tex]

[tex]\\ \sf\longmapsto 2(1)[/tex]

[tex]\\ \sf\longmapsto 1[/tex]

Step-by-step explanation:

[tex] \tt \lim \limits_{x \to1} \frac{ {x}^{2} - 1 }{x - 1} = ...[/tex]

[tex] = \tt \lim \limits_{x \to1} \frac{(x + 1) \cancel{(x - 1)}}{ \cancel{(x - 1)}} [/tex]

[tex] = \tt \lim \limits_{x \to1}(x + 1)[/tex]

[tex] = \tt1 + 1[/tex]

[tex] = \boxed{ \bold{ \blue{ \underline2}}}[/tex]

Describe the slope of the line. Then find the slope. What’s the slope?

Answers

Hello there!

We are given two points.

We use the following formula:

[tex]\frac{y2-y1}{x2-x1}[/tex]

[tex]\frac{4-7}{0-(-1)}[/tex]

[tex]\frac{4-7}{0+1} \\\frac{-3}{1} \\-3[/tex]

So the slope is -3. Hope it helps!

~Just a cheerful teen

#CarryOnLearning

[tex]SilentNature[/tex]

Answer:

[tex]\boxed{\boxed{\sf Slope: -3}}[/tex]

Step-by-step explanation:

To find the slope of a line given the coordinates of two points on the line, use the slope formula.

[tex]\boxed{\sf {Slope}=\cfrac{y_2-y_1}{x_2-x_1}}[/tex]

x1 and y1 are the coordinates of the first point. The second point's coordinates are x2, y2.

[tex]\sf Points: \left(-1,\:7\right)\: and\: \left(0,\:4\right)[/tex]

[tex]\boxed{\sf \left(x_1,\:y_1\right):\left(-1,\:7\right)}[/tex]

[tex]\boxed{\sf \:\left(x_2,\:y_2\right):\left(0,\:4\right)}[/tex]

[tex]\longmapsto\sf slope\:(m)=\cfrac{4-7}{0-\left(-1\right)}[/tex]

[tex]\longmapsto\sf slope\:(m)=-3[/tex]

_________________________________

Solve using elimination.

–4x + 9y = –18
–x − y = –11

Answers

To do elimination, you need to get same coefficient before the variable
Multiply (-x-y = -11) by 4
-4x + 9y = -18
-4x - 4y = -44
Now subtract
13y = 26, y = 2
Plug in y = 2 for any of the two equation
-x - 2 = -11
-x = -9, x = 9

Solution: x = 9, y = 2

5. What does the following addition equal?
3 and 7 eights + 6 and 5 eights

Answers

3 7/8 + 6 5/8 =

9 12/8 = 10 4/8

10 4/8 = 10 1/2

The answer is 10 1/2

If you are not looking for a mixed fraction it should be..

21/2

Kenny has 8 red shirts, 12 blue shirts, and 10 white shirts in his closet. What is the probability that he would get a white shirt out of the closet?

Answers

Answer:

1/3 or 33.33 %

Step-by-step explanation:

this is because there is 30 shirts and all and 10 white. 10/30 is 1/3, or 33.33%

Answer:

likely

If there are 8 red shirts, 12 blue shirts, and 10 white shirts. The answer would be likely

At her birthday party marcies guests are 2/3 of her birthday cake and her family ate 1/4 of the cake how much cake was left after her party

Answers

Answer: 1/12 of the cake.

Step-by-step explanation:

First, find the LCM (Least Common Multiple) of 3 and 4. The easiest way to do this is to multiply the two together. 3*4 = 12.

Now, convert each fraction to be out of twelfths. Do this by setting up a proportion. 2/3 = x/12. Cross multiply and divide. 2*12 = 24. 24/3 = 8. Therefore, 2/3 = 8/12.

Do the same for 1/4. 1/4 = x/12. Cross multiply and divide. 12*1 = 12. 12/4 = 3. Therefore, 1/4 = 3/12.

Now add these two fractions by adding the numerators and keeping the denominators the same. 8/12 + 3/12 = 11/12.

Subtract this answer from 1 (12/12). 12/12 - 11/12 = 1/12

Solve for j.
19j–18j=12
j=

Answers

Answer:

12

Step-by-step explanation:

it should be 12 got it!

Hello, hope you are having a nice day.

Let's solve this equation for j. The first step is to combine like terms.

19j-18j=12

j=12

So j is 12. This is the answer.

Hope you find my answer helpful. Ask me if you have any questions.

~Just an emotional teenager who helps other people on Brainly

[tex]MagicalNature[/tex]

Good luck with your studies.

The additive inverse of [tex]a-b[/tex] is:

A. a + b
B. -a + b
C. -a - b
D. [tex]1/a-b[/tex]

Answers

Additive inverse refers to any number that when added to the original number gives the result as zero.

[tex]a-b +AI = 0\\\\\implies AI = b-a = -a+b[/tex]

Help quick 20 points

Answers

Answer:

Step-by-step explanation:

1) isosceles triangle d = (180 - 110) / 2 = 35°

2) 2h + 3h + 4h = 180

    9h = 180

      h = 20

2h = 40°

3h = 60°

4h = 80°

Type the correct answer in each box

The point on the number line shows the opposite of ____, or the opposite of the opposite _____.

Answers

If your answers are supposed to be numbers then it'd be 2.5 and -2.5

Determine whether the inverse of F(x) is a function.

Answers

Yes it is a function because it passes the vertical line test.
It’s a function ! This is due to the fact is passed the vertical line test. Also remember, A function f has an inverse only when its graph is reflected about the line y = x

3x-9=3



solve if you can

Answers

Finding the value of x,

→ 3x - 9 = 3

→ 3x = 3 + 9

→ x = 12/3

→ [ x = 4 ]

Thus, the value of x is 4.

Find the product using formula ...


formula = ( a + b ) ( a - b )


a) 1.2 × 2.8​

Answers

Step-by-step explanation:

1.2 × 2.8

(2 - 0.8 )(2 + 0.8)

2² - (0.8)²

4 - 0.64

3.36

Solution:

[tex]1.2 \times 2.8 \\ = (2 - 0.8)(2 + 0.8) \\ = {(2)}^{2} - {(0.8)}^{2} \\ = 4 - 0.64 \\ = 3.36[/tex]

Answer:

3.36

Hope it helps.

Do comment if you have any query

plz help i only need this question who ever get its right will get 77 point

Answers

Answer:

Ok, so I think it's x= 2.5 and y= 306.1 plz forgive me if I'm wrong.



Find the median of the list of data.
12, 18, 21, 25, 30, 43

Answers

Answer:

23

Step-by-step explanation:

the median is the "Middle" number of the set.21 and 25 are the middle numbers of the set. so now find the middle of 21 and 25.

21 22 23 24 25

23 is the median of the data set

Nine more than the product of a number and 3 is equal to 6

Answers

Answer:

x = - 3

Step-by-step explanation:

9 more than the product of a number and three is equal 6.

9 +                                   (x · 3)                                = 6

9 + 3x = 6

3x = -9 + 6

3x = - 3

x = - 3

Answer:

3x + 9 =6

Step-by-step explanation:


problem referred below

Answers

Answer:

Step-by-step explanation:

(f/g)(-4) = (-4² - 13) / (4 - (-4)) = 3/8

PLS HELP ME

what party was against a strong central government, government promotion of trade and industry?

A: Federalist

B: Democrat-republicans

C: Whigs

D: Democrats

I need it now pls it's a k-12 test

Answers

Answer:

the answer is a federalist and your welcome

Step-by-step explanation:

The Federalists, led by Secretary of Treasury Alexander Hamilton, wanted a strong central government, while the Anti-Federalists, led by Secretary of State Thomas Jefferson, advocated states' rights instead of centralized power.

ROOM
Write an equation in function notation for each situation.
1. The admission fee to a local carnival is $8. Each ride costs
$1.50
2. Steven buys lettuce that costs $1.69/1b.
3. An amusement park charges a $6.00 parking fee plus $29.99
per person.
4. A math tutor charges $35 per hour
5. A fitness center charges a $100 initiation fee plus $40 per
month

Answers

Answer:f(x)=1.5-x + 8

Step-by-step explanation:

Triangle ABC has coordinates A(-2, -3), B(1, 1), and C(2, -1). If the triangle is translated 1 unit right and 3 units up, what are the coordinates of A'?

Answers

Answer:

answeris: C.(-6,-9)➡(6-9)

can you answer these fractions
[tex] \frac{2}{5} + \frac{3}{2} [/tex]

Answers

1 9/10 is the answer to this fraction

Solve for L:
P=2L+2W

Answers

Answer:

[tex]L=\frac{1}{2}P-W[/tex]

Step-by-step explanation:

Let's solve for L.

[tex]P=2L+2W[/tex]

Step 1: Flip the equation.

[tex]2L+2W=P[/tex]

Step 2: Add [tex]-2W[/tex] to both sides.

[tex]2L+2W+-2W=P+-2W[/tex]

[tex]2L=P-2W[/tex]

Step 3: Divide both sides by [tex]2[/tex].

[tex]\frac{2L}{2}=\frac{P-2W}{2}[/tex]

[tex]L=\frac{1}{2}P-W[/tex]

Answer:

[tex]L=\frac{1}{2}P-W[/tex]

Help me fast please worth 14

Answers

Answer:

its the last one i think

Step-by-step explanation:

.

you have 12 pets and 2 die every 1 and half years how many are left

Answers

Answer; 0 ,2?

Step-by-step explanation:

im not so sure tbh its a lil confusing dont they tell how many years its been?

2. Suppose that you are looking for a student at your college who lives within five miles of you. You know that 55% of the 25,000 students do live within five miles of you. You randomly contact students from the college until one says he or she lives within five miles of you.

(a) What is the probability that you need to contact four people?

(b) How many students from the college you expect to contact until you find one lives within five miles of you?

(C) What is the standard deviation of the number of students to be contacted until one says who lives within five miles of you?

(d) Suppose you randomly ask 5 students at your college, what is the probability that 3 of them live within five miles of you?

(e) Suppose you randomly ask 5 students at your college, what is the expected number of students who live within five miles of you?​

Answers

Using the binomial distribution, it is found that:

a) There is a 0.0501 = 5.01% probability that you need to contact four people.

b) You expect to contact 1.82 students until you find one who lives within five miles of you.

c) The standard deviation is of 1.22 students.

d) 0.3369 = 33.69% probability that 3 of them live within five miles of you.

e) It is expected that 2.75 students live within five miles of you.

For each student, there are only two possible outcomes. Either they live within 5 miles of you, or they do not. The probability of a student living within 5 miles of you is independent of any other student, which means that the binomial distribution is used to solve this question.

Binomial probability distribution

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

The parameters are:

x is the number of successes. n is the number of trials. p is the probability of a success on a single trial.

In this problem:

55% live within five miles, hence [tex]p = 0.55[/tex].

Item a:

This probability is P(X = 0) when n = 3(none of the first three) multiplied by 0.55(the fourth does live within five miles), hence:

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 0) = C_{3,0}.(0.55)^{0}.(0.45)^{3} = 0.091125[/tex]

[tex]p = 0.091125(0.55) = 0.0501[/tex]

0.0501 = 5.01% probability that you need to contact four people.

Item b:

The expected number of trials in the binomial distribution until q successes is given by:

[tex]E = \frac{q}{p}[/tex]

In this problem, [tex]p = 0.55[/tex], and 1 trial, thus [tex]q = 1[/tex], hence:

[tex]E = \frac{1}{0.55} = 1.82[/tex]

You expect to contact 1.82 students until you find one who lives within five miles of you.

Item c:

The standard deviation of the number of trials until q successes are found is given by:

[tex]S = \frac{\sqrt{q(1 - p)}}{p}[/tex]

Hence:

[tex]S = \frac{\sqrt{0.45}}{0.55} = 1.22[/tex]

The standard deviation is of 1.22 students.

Item d:

This probability is P(X = 3) when n = 5, hence:

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 3) = C_{5,3}.(0.55)^{3}.(0.45)^{2} = 0.3369[/tex]

0.3369 = 33.69% probability that 3 of them live within five miles of you.

Item e:

The expected value of the binomial distribution is:

[tex]E(X) = np[/tex]

Hence:

[tex]E(X) = 5(0.55) = 2,75[/tex]

It is expected that 2.75 students live within five miles of you.

A similar problem is given at https://brainly.com/question/25343741

last month adhem ate 5 apples , 8 bananas , 7 Peaches , 10 oranges what the ratio of apples to the total of the fruit

Answers

Answer: 5:30

Step-by-step explanation: there are 5 apples and 30 total fruits.

Answer:

5:30 or simplified 1:6

Step-by-step explanation:

There are 30 fruits including the apples, and the apples only make up 5 of the fruits.

three-quarters the product of two numbers x and y

Answers

Answer:

xy=3/4

Step-by-step explanation:

since it says the "product"

it is x(y)

3/4 goes after the = sign

Which of the following Statements are true?
Statement 1: A STOP sign is a regular
octagon.
Statement 2: An equilateral triangle has
three angles.

Answers

Answer:

C. Both statements are true

If
x
=
4
and
y
=
7
, evaluate the following expression:
2
(
4
x
+
3
y
)

Answers

Answer:

expression.

2(4x+3y)

2(4(4)+3(7))

2(16+21)

2( 37)

74

Other Questions
Please helpABCDEF !PLEASE HELP!3/2 (7/3x+1) = 3/2Show work. (simple if possible)Giving Brainliest. What is the basic limitation of working memory? A. it is only available to us during REM sleep B. it can only hold a limited amount of information C. it can hold an unlimited amount of information D. it is only available to us during the hours of 9-5 Please help me with this lolSelect the correct answer from each drop-down menu.Shape I is similar to shape ll.*then its the picture which is listed below*The sequence that proves shape l is similar to shape ll when applied to shape l is a reflection across the *x-axis or y-axis* followed by a translation *4, 5, 6, or 7* units right and *2, 3, 4, or 5* units down, and then a dilation by a scale factor of *0.5, 1, 1.5, or 2*. Choose an example of a company you could start, and decide which business structure would make the most sense for that type of company (sole proprietorship, partnership, LLC, C corporation, S corporation, or nonprofit corporation). Explain why this structure would be good for this type of company. A resistance of 30 is placed in a circuit with a 90 volt battery. What current flows in the circuit? An infant diagnosed with pyloric stenosis experiences excessive vomiting that can result in which condition? please help!!!!!Rewrite this passage as old information begins each sentence and new information follows the old.Two aims-the recovery of the American economy and the modernization of America into amilitary power-were in the president's mind when he assumed office. The drop inunemployment figures and inflation, and the increase in the GNP testifies to his success in thefirst. But our increase in involvement in international conflict without any clear set of politicalgoals indicates less success with the second. Nevertheless, increases in the military budget and a good deal of saber rattling pleased the American voter. Asap A cyclist needs to spin 100 meters with a velocity of 5 m/s. How long will the cyclist take? How to describe a horror campsite setting GIVING BRAINLIEST1. Tom and Tina decided they wanted to start a family. Tom knew his grandfather had sickle-cell disease. Sickle-cell disease is a recessive disorder that causes blood cells to stiffen and take on a crescent shape. These blood cells have a difficult time moving through the blood vessels and can cause health problems. Tina didnt know of any family members that had it. Still, before they got pregnant they both went to the doctor for genetic tests. The doctor found that even though Tom and Tina were healthy, they both carried the gene for sickle-cell disease. Make a Punnett Square to determine the probability of Tom and Tinas child having sickle-cell disease.Use the space below to tell the probability of Tom and Tina having a child with sickle-cell and explain how you determine that. George Anderson takes out $30,000 of a twenty-payment life insurance. If he is twenty-six years old, what annual premium does he pay? pepsinogen is produced by __________ and is activated by __________, which is secreted by __________. Age GroupPopulation meUnited States - 2012100.90-9450030-0479150-54>>20202015) (7A) Using the population pyramids above, which is a true statement?a) Angola has a higher life expectancy than the United Statesb) The United States focus is on the education of the youngc) Angola's future worries are of it's elderly populationd) The United States current trends will lead to negative growth in the future. Which action reflects irresponsible lab safety behavior? what did upper class women in france in the 19th century do for fun? 5. Use the quadratic function to predict f(x) if x equals 2.f(x) = 3x^2 + 180x 285A. f(2) = 111B. f(2) = 63C. f(2) = 87D. f(2) = 125 if you are looking for a vacation near Deep Creek Lake, MD then check this out. its really nice :) PLSSSSSSSSS I WILI WILL GIVE BRAINLIEST PLSSSSSSSSSSSThe area of a rectangle is 3/4 square yards. If the width of the rectangle is 3/5, what is the length?EXPRESSION :ANSWER: Suppose that the price p (in dollars) and the demand x (in thousand of units) of a commodity satisfy the demand equation 6p+x+xp=94 How fast is demand changing when the price is set at $9 and the price is rising at the rate of $2 per week?dx/dt = The demand is decreasing at the rate of _________units per week.