15. Which best reflects a correct conversion of an equation in exponential form to logarithmic form?

15. Which Best Reflects A Correct Conversion Of An Equation In Exponential Form To Logarithmic Form?

Answers

Answer 1

Answer:

[tex]5^x = 25[/tex]

[tex]\log_525 = x[/tex]

Step-by-step explanation:

Given

Convert from exponential to logarithm

(a) to (d)

Required

Which of the options is correct

Given that:

[tex]a^b = c[/tex] --- Exponential

The logarithm form is:

[tex]b = \log_ac[/tex]

From (a) to (d), only option (c) is correct.

Because it follows the above pattern

i.e.

[tex]5^x = 25[/tex] [tex]\to[/tex][tex]\to[/tex]  [tex]a^b = c[/tex]

[tex]a = 5[/tex]   [tex]b = x[/tex]   [tex]c = 25[/tex]

[tex]b = \log_ac[/tex] becomes

[tex]x = \log_525[/tex]

or

[tex]\log_525 = x[/tex]


Related Questions

Identify GCF 4x^2y-8x

Answers

Answer:

The GCF for the numerical part is 4 . The factors for x2

Step-by-step explanation:

What linear equation is represented by the table?

Please hurry!

Best answer gets Brainliest!!!!

A) Y= 2x

B) y= 4x

C) y= 4x -2

D) y= 2x - 2

Answers

Answer:

y = 4x - 2

Step-by-step explanation:

linear equation - y = mx + b

where m = slope and b = y intercept

The y intercept is the y value of the coordinate where x = 0

Looking at the table, we notice that when x = 0, y = -2

Which means that the y  intercept ( b ) = -2

Slope = change in y over change in x

As y goes up 4 x goes up 1

Thus, slope ( m ) =  4

Now we plug in the identified slope and y intercept into " y = mx + b "

we get that the equation is y = 4x - 2

A) Y=2x


Sorry if it’s incorrect but that is the answer I think is correct

What is the scale factor from ADEF to AABC?
10
6
20
12
А
7
14

Answers

Answer:

The scale factor is 1/2

Step-by-step explanation:

Given

[tex]\triangle DE F[/tex] and [tex]\triangle ABC[/tex]

Required

The scale factor from [tex]\triangle DE F[/tex] to [tex]\triangle ABC[/tex]

Take a corresponding side in both triangles.

We have:

[tex]DE= 20[/tex]     [tex]AB = 10[/tex]

The scale factor from [tex]\triangle DE F[/tex] to [tex]\triangle ABC[/tex] is:

[tex]k =\frac{AB}{DE}[/tex]

[tex]k =\frac{10}{20}[/tex]

[tex]k =\frac{1}{2}[/tex]

Find the radius of a sphere with a surface area of $4\pi$ square feet.

Answers

Answer:

r = 1 feet

Step-by-step explanation:

Given that,

The surface area of the sphere, A = 4π feet²

We need to find the radius of the sphere.

The formula for the surface area of the sphere is given by :

[tex]A=4\pi r^2[/tex]

Where

r is the radius of the sphere

Put all the values,

[tex]4\pi = 4\pi \times r^2\\\\r=1[/tex]

So, the radius of the sphere is equal to 1 feet.

Stephen covered a 42.165 marathon in the first position . Round off this distance to two decimal places​

Answers

Answer:

42.17 maybe

Step-by-step explanation:

Using the paths shown below, how long is the shortest route from Hillsdale to Belmont?


I need help

Answers

Answer:

26.6 miles

there are two ways you could go, you could go from Hillsdale to Danville to Arcadia to belmont, wich is 27.8 miles or you could go from Hillsdale to Arcadia to belmont wich is only 26.6

To answer the following question, please refer to the Labor Statistics Document.

You are a male who has a high school diploma. You plan to attend college and earn a bachelor’s degree. When you graduate from college, you get a job paying $40,780.00/yr. How much less are you earning per year than the median?

$10,485

$4,772

$11,272

$19,004

Answers

Answer:

The answer is 4772+11272/2

Which is $10408

Plz Mark it as brainlist answer

If C = p - 1 and D = -3p + 1, find an expression that equals 3C – D in
standard form.

Answers

Answer:

3c=3p-3

3c-D=3p-3-(-3p+1)

=6p-4

What is the correct ratio?

Answers

D)32/40

Hope it helps you

Answer:

[tex]\frac{24}{40}[/tex]

Step-by-step explanation:

Sin = [tex]\frac{opposite}{hypotenuse}[/tex] (relative to the angle asked for)

The opposite of Angle Z is 24

The hypotenuse no matter what would always be 40; therefore,

Sin(Z) = [tex]\frac{24}{40}[/tex]

Hope this helps!

You flip a coin twice. What is the probability it lands heads-up both times?

Answers

Answer: 1/4

Step-by-step explanation: 1/2 chance it shows heads if you do it once so: 1/2 times 1/2

Answer:

[tex]$\frac{1}{4}[/tex]

Step-by-step explanation:

Each time you a flip a coin, there is a [tex]\frac{1}{2}[/tex] chance it lands on heads. Therefore, after flipping a coin twice, the probability that it lands on heads both times is:

[tex]\frac{1}{2}\cdot \frac{1}{2}=\boxed{\frac{1}{4}}[/tex]

¿Existen o no existen los números?.

Answers

si existen pero que tipo de números? porque si existen

A pollster believes that 20% of the voters in a certain area favor a bond issue. If 49 voters are randomly sampled from the large number of voters in this area, approximate the probability that the sampled fraction of voters favoring the bond issue will not differ from the true fraction by more than 0.08. (Round your answer to four decimal places.)

Answers

Answer:

The probability that the sampled fraction of voters favoring the bond issue will not differ from the true fraction by more than 0.08 is 0.7698

Step-by-step explanation:

Given  

n = 64

p = 0.20

X/n -p < 0.06

x-np <0.06n

x-np <0.06 * 64  

x-np <3.84

Z score  

= (x-np)/sqrt (np(1-p))

= -3.84/ sqrt (64*0.20*0.80)

= -1.20

P (x/n-p<0.06) = P(-1.2<z<1.20) = 1-2*0.1151 = 0.7698

7. Which graph shows the solution set of 2 <0?
a
-5-4-3-2-1
12
3 4 5
b.
-3 -2 -1 0
123
4
5 *
C.
5 -4 -3 -2 -1 0 1 2 3 4 5
d.
-54-3-2-1 0 1
2 3 4
5

Answers

Step-by-step explanation:

à 5-4-3-2-1 that my answer please next question please

The graph C is correct, open holes at 1 and 3; shading in between.

What is an inequality?

In Algebra, inequality is a Mathematical statement that shows the relation between two expressions using the inequality symbol.

Given is an inequality, x-1 / x-3 < 0, we need to find the graph of it,

Let p = x-1 and q = x-3

Now,

The problem we want to solve is in the form p/q < 0

Since p/q is negative, there are two cases we have to address ;

Case 1) p is positive and q is negative, or,

Case 2) p is negative and q is positive

The signs of p and q are opposite one another.

Case 1) If p is positive, then

p > 0

x-1 > 0

x > 1

If q is negative, then

q < 0

x-3 < 0

x < 3

Combine x > 1 with x < 3 and we get 1 < x < 3.

Case 2) If p is negative, then

p < 0

x-1 < 0

x < 1

If q is positive, then,

q > 0

x-3 > 0

x > 3

We get a contradiction.

Both "p is negative" and "q is positive" must be true at the same time. But if p is negative, then x < 1 which contradicts x > 3 (which happens when q is positive)

Put simply: case 2 is not possible. There's no way to have p be negative at the same time q is positive. This because we're wanting x to both be smaller than 1 AND also be greater than 3 at the same time.

We must rule out case 2 and side with case 1 instead.

The conclusion of case 1 was that 1 < x < 3

The graph of this has open holes at 1 and 3 on the number line. The shading is between the open holes to represent all values between 1 and 3, excluding the endpoints.

Hence, the graph is C.

Learn more about inequality, click;

https://brainly.com/question/30231190

#SPJ7

I will give brainliest!
The histogram shows the number of
books read by four different age
groups over the summer. What is
The mode of the data?

Answers

Answer:

14-16

Step-by-step explanation:

It is the value that appears the most in the whole group.

Find the measure of angle AGE in the figure below. Enter only
the number.

Answers

Answer:

AGE = 129 degrees

Step-by-step explanation:

Are all rhombus squares? Why or why not.

Answers

Answer:

no they are not

Step-by-step explanation:

rhombus is a special parallogram.

.

1.angles on rhombus are not equal and for square angles are equal that's why rhombus cant be a square

2. square is a special rhombus

hope u understand

Answer:

no

Step-by-step explanation:

all rhombus are not square.

rhombus has a special condition.(THE DIAGNOLS ARE ALWAYS PERPENDICULAR TO EACH OTHER)

square is a special case of rhombus(IT HAS ITS DIAGONAL PERPENDICULAR TO EACH OTHER AND ALL SIDES ARE EQUAL)

A theater company charges $7.50 per ticket for people of all age groups. If c represents the total number of children who bought tickets and a represents the total number of adults who bought tickets, which expression best represents the total money earned by the company from the sale of tickets. WITCH ONE

c + 7.5a

7.5(c + a)

15(c + a)

7.5c + a

Answers

Answer:

I believe it is 7.5c + a

Step-by-step explanation:

when a variable is placed beside a number, you will multiply the number by the variable. here, we know the the variable means kids. 7.5 per kid that buys tickets, plus the adults. Hope that helps!

A researcher collected data on years spent in college and yearly income. He found that the longer someone is in college, the lower his/her income is. Which of the following is true based on this research? Select all that apply.

The line of best fit for this data would be increasing from left to right on the scatter plot.
The slope of the line of best fit for this data would be negative.
The -intercept for the line of best fit for this data would be zero.
The line of best fit for this data is horizontal because the variables are not related.
If you divided the data into two groups and found the average years of college and average yearly income from each of the two groups, you could find the estimated slope of the line of best fit by using the slope formula on those representative points.

Answers

Answer:

A

Cdfvvbghnjmk,l.;/‘Step-by-step explanation:

[tex]\tt\red{See \; attachment!}[/tex]

Please help me I will give brainliest to whoever answers

Answers

Answer: B

Step-by-step explanation:

#[tex]GameOn[/tex]

Answer:

yea the awsered is b

Step-by-step explanation:

Which is a diagonal through the interior of the cube?
AD
BG
CE
DF​

Answers

do you have a picture of the cube?

If tan m =
and tan n = -6, what is the exact value of tan(m + n)?

Answers

Answer:

Look below:)

Step-by-step explanation:

you plug in -6 for tan m and tan n

put in your calacuator tan (-6+-6)

then you will get your answer

write and solve proportion answer the question.

25%of what number w is 9

□= 25
100

w= □​

Answers

Answer:

Answer is 36.

You can simply get this by writing and expression for it

25/100 x w=9

25w/100=9

w= 9x100/25

w=36.

Answer:

36

Step-by-step explanation:

9/w=25/100

cross multiplication:

9*100=25w

900=25w

900=25w / 25

36=w

12. Which statement best describes the effects on the graph of f(x) = log2 xwhen f(x) is replaced by
f(x-2) + 1?
a. The graph is vertically stretched by a factor of 3, horizontally translated 2 units right, and
vertically translated 1 unit up.
b. The graph is vertically compressed by a factor of 3, horizontally translated 2 units right, and
vertically translated 1 unit up.
c. The graph is horizontally stretched by a factor of 3, horizontally translated 2 units left, and
vertically translated 1 unit up
d. The graph is vertically compressed by a factor of , vertically translated 2 units down, and
horizontally translated 1 unit left.

Answers

Answer:

B.

Step-by-step explanation:

Hope it helps thx

#CARRYONLEARNING!

explanation process with problem = branliest and more points

Answers

Answer:

B

Step-by-step explanation:

So, this is a inequality.

The inequality is 2x+2 >= 10

Lets completly ignore the graphs for the moment, and just solve this inequawlity as we would like a normal equation.

So first, subtract 2 from both sides:

2x+2>=10

=

2x>=8

Now, divide by 2 to get x alone:

2x>=8

=

x>=4

So, we now know that x is greater than or equal to 4.

In a normal inequality, we would have to remember the following:

When it is greater than/less than or equal to the dot that marks the inequalities value is filled in.

When it is greater than/less than the dot that marks the inequalities value is open, kind of like a "o".

Also, recall that the dark black line that goes either left or right of the dot also varies:

If x is less than the dot that marks the inequalities value, then the dark black line with go left.

If x is greater than the dot that marks the inequalities value, then the dark black lne will go right.

So for our x>=4, since there is a equals sign, its a filled in dot.

So four our x>=4, since there is a greater than sign, the dakr black lines goes to the right.

Now, lets look at the graphs

There is only one that has the filled in dot on 4, and a black line that goes to the right. Thats B

So B is your answer!

Hope this helps! :)

Answer:

B

Step-by-step explanation:

In order to graph we must first isolate the variable.

We can do this by using inverse operations

2x + 2 ≥ 10

To get rid of the + 2 we subtract 2 because the expression is adding 2 and the inverse of addition is subtraction. But remember whatever we do to one side we have to do to the other so we subtract 2 from each side

2 - 2 cancels out

10 - 2 = 8

we now have 2x ≥ 8

Now we want to get rid of the 2 on "2x". 2x is the same as 2 times x and the inverse of multiplication is division, so we divide each side by 2

2x / 2 = x

8 / 2 = 4

we're left with x ≥ 4

To graph we place a point on "4" and fill in the point ( when the inequality sign is ≤ or ≥ we fill in the point )

When the inequality sign is facing the variable ( x ) the line will be going in the direction of right.

Hence, the answer is B

0.5 mg/mL = ___________ mcg/mL

Answers

Answer: 500 mcg/mL

Step-by-step explanation: 0.5 mg/mL = ___________ mcg/mL

0.5 mg/mL(1000)

500 mcg/mL

Answer:

500 mcg / mL

Step-by-step explanation:

this is the ansa when u do 0.5 mg/mL = ___________ mcg/mL

HELPPP
PLLS
DUE RN



WILL


GIVE BRAINLIST



X
X
X
X

Answers

3rd one

25. 2/11 yvyvybyivyvtcyvjjvyvyvufugucyftcyf

Please answer ASAP. I really need this and please explain your answer
No links

Answers

Answer:

144 - 36pi

Step-by-step explanation:

1) Since the side lengths of the square are 12 units, the midpoints divide each side into two 6 unit lengths.

2) Those 6 unit lengths are radii of a quarter of a circle.

3) We can use the equation pi × r^2 to calculate the area of the four quarter circles.

4) pi × 6^2

5) 36pi

6) The area of the original square is 12 × 12, which is 144.

7) 144 - 36pi is your answer.

Please Help!! I WILL MARK BRAINLIEST

Answers

Answer:

f-¹(x) = 2x – 8

f-¹(4) = 2(4) – 8 —> f-¹(4)= 8 - 8 =0

NO LINKS!!!!!!

If it takes 1/3 of a can of frosting to cover a small cake, how many cakes can you frost with 4 cans of frosting?

a. Solve the problem. Show your work.

b. Write the equation to represent the problem and the answer.

Answers

Answer:

Hello answer: 1 1/3

work: 1/3 × 4 = 1 1/3

equation: 1/3 × 4 = 1 1/3

Answer:

see explanation

Step-by-step explanation:

(a)

[tex]\frac{1}{3}[/tex] can → 1 cake

Number of thirds in 1 can = 3, then

Number of thirds in 4 cans = 3 × 4 = 12

Thus 12 cakes can be frosted with 4 cans

(b)

number of cakes = 4 ÷ [tex]\frac{1}{3}[/tex] = 4 × [tex]\frac{3}{1}[/tex] = 12

please help me. did i get this question correct?

Answers

Yes you did get the answer correct
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