If 6^4x = 82, what is the value of x?
Round your answer to three places.

Answers

Answer 1

Answer:

[tex]x=0.61485921[/tex]

Step-by-step explanation:

The given equation is in exponential form:

[tex]6^{4x} =82[/tex]

To find [tex]x[/tex] we need to write it in logarithmic form:

[tex]b^{a} =n[/tex] ⇒ [tex]log_{b} n=a[/tex]

[tex]6^{4x} =82[/tex] ⇒ [tex]log_{ 6 } 82=4x[/tex]

           [tex]2.45943684 = 4x[/tex]

              [tex]\frac{2.45943684}{4} = x[/tex]

           [tex]0.61485921 =x[/tex]

To prove this, we can substitute the value into the given equation

             [tex]6^{4x} =82[/tex]

[tex]6^{4(0.61485921)} =82[/tex]

               [tex]82=82[/tex]

Therefore, the answer is [tex]x=0.61485921[/tex]


Related Questions

Help me please I need this ASAP

Answers

Answer:

86

Step-by-step explanation:

2 + 2 = 4

4 cubed is 64

150 - 64 = 86

Have a great day <3

Answer:

86

Step-by-step explanation:

[tex]150 - (2 + x)^{3}[/tex]

x = 2

[tex]150 - (2 + 2)^{3}[/tex]

BEDMAS

(brackets)

⇒ [tex]150 - (2 + 2)^{3}[/tex]

⇒ 150 - [tex]4^{3}[/tex]

(exponents)

⇒ 150 - [tex]4^{3}[/tex]

⇒ 150 - 64

(subtraction)

⇒ 150 - 64

⇒ 86

what is 5 times a number minus 3 is 12 ?​

Answers

Answer:

5*x-3=12

the number is 3 because 5*3=15 and 15-3=12

Answer:

3

Step-by-step explanation:

x - 3 = 12

12 + 3 = 15

15 - 3 = 12

5( ? ) = 15

15/5

? = 3

5(3) = 15 - 3 = 12

Hope this helps dude

Will mark brainliest hurryyy!!!
Given A=[-3 -4 1 0] B= [-7 -9 4 -1] and c=[-42 -20 5 4] What is the value of X in the matrix equation AX + B = C?

Answers

I had this question asked before lol

Answer:

X=[1 5 8 -1]

Step-by-step explanation:

B or Option 2

Express 0.0175 in scientific notation.

Answers

Answer:

Step-by-step explanation:

1.75 x 10^-2

Answer:To equal the original number, you would have to multiply 1.75 by 0.01 or 10-2. Therefore, the proper scientific notation for 0.0175 would be 1.75 x 10-2.

Solve for r 0.5(r+2.76)=3

Answers

Answer:

r=1.43147648, −4.19147648

Step-by-step explanation:

Brent leaves school to go home. He walks 10 blocks north and then 6 blocks west. If Brent could walk in a straight line to the school, what is the exact distance between Brent and school

Answers

Answer:

11.66 units

Step-by-step explanation:

Given that he walks 10 blocks north and then 6 blocks west..

When combined with the straight line to the school, this forms a right angled triangle with the straight line as the hypotenuse.

Hence, let the straight line be h

h^2 = 10^2 + 6^2 (using Pythagoras theorem)

h^2 = 100 + 36

h^2 = 136

h = √ 136

h = 11.66 units

-8x+2<114
Make sure to type “x” and the the inequality symbol “<,>,<_,_>”

Answers

Your answer is -14
Hope this helped

What is the measure of

Answers

Answer:

43

Step-by-step explanation:

y is inversely proportional to ai
When a = 2, y = 10
a is directly proportional to x
When x = 4, a = 20
Find a formula for y in terms of x.
Give your answer in its simplest form.​

Answers

Answer:

wddddddddddd

Step-by-step explanation:

dwwwwwwwwwwwww

Will give brainliest IF the answer is right and u have a explanation

Answers

Answer:

True

Step-by-step explanation:

If any number is multiplied by a negative in this case, the answer will of course be negative

stuck on this hope someone can help me

Answers

Answer:

all are correct except the third one. the formula for that one should be v = a³ since it's a cube

Step-by-step explanation:

12. The function M(h) = 10e-0.173h can be used to find the number of milligrams M of morphine that is

in the patient's bloodstream h hours after the drug has been administered.

(a) What was the initial dosage?

(b) How many milligrams will be present after 1 hour? After 4 hours?


please help..

Answers

Answer:

Part A; Initial dosage is 10 milligrams

Part B:

8.4113 milligrams after 1 hour

5.0057 milligrams after 4 hours.

Step-by-step explanation:

It is given M(h)= 10 [tex]e^{-0.173h}[/tex]

Initial dosage is the 10 milligrams

After 1 hour, plug in h as 1

So, M(1)=10[tex]e^{-0.173*1}[/tex]

Simplify the right side

M(1)=10(0.84113)

M(1)= 8.4113 milligrams.

Now, after 4 hours

M(4)=10 [tex]e^{-0.173*4}[/tex]

M(4)=10(0.50057)

M(4) =5.0057 milligrams

Plz help meh with dis i need it bad! .~.

Answers

Answer:

c

Step-by-step explanation:

Answer: Its either D OR C.

Step-by-step explanation: its less than (suppose to be).

Consider the rectangle. Which pair of expressions represents the perimeter of the rectangle?
PLEASE HELP!!!

Answers

Answer:

6x + 2 and 2x + (x + 1) + 2x + (x + 1)

Step-by-step explanation:

Perimeter of a rectangle = 2(length + width)

Length = 2x

Width = x + 1

Perimeter of a rectangle = 2(length + width)

= 2{2x + (x + 1)}

= 2(2x + x + 1)

= 2(3x + 1)

= 6x + 2

Perimeter = length + width + length + width

= 2x + (x + 1) + 2x + (x + 1)

What’s the missing side length?

Answers

4 yd. 9-5=4. Hope this helps!

help? part a:

Students at Sunnyside Middle School are selling tickets to the annual talent show. Below is a table showing ticket prices for students and adults.

Talent show ticket prices

Student Price $3

Adult Price $5

What amount of money would be collect if 60 students and 30 adults bought tickets? Show or explain how you got your answer.

Answers

Answer:

$330

Step-by-step explanation:

$3 times 60 students = $180

$5 times 30 adults = $150

$180 + $150 = $330

Answer:

Step-by-step explanation:

you would find your answer by multiplying the amount of students/adults by how much each ticket costs

60 x $3 = $180

30 x $5 = $150

$180 + $150 = $330

Natasha has a bag of 25 gift bows: 6 white, 5 gold, 4 red, 7 blue, 2 green, and 1 pink.
If Natasha picks bows at random, what percent chance is there that the first two gifts
she wraps will have a white bow?

Answers

Answer:

24%

Step-by-step explanation:

6/25=0.24

0.24=24%


Solve for the missing angle:

A 41 degrees
B 108 degrees
C 82 degrees
D 298 degrees

Answers

41 is the only reasonable answer

Write an equation in point-slope form of the line that passes through (-1,-4) with slope -2.

Answers

Answer:

y+4=-2(x+1)

Step-by-step explanation:

y-y1=m(x-x1)

y-(-4)=-2(x-(-1))

y+4=-2(x+1)

1. Let x= -2 and y= -5. (NC.7.NS.2) Which expression has a negative value? A. X+y B.X-y C.[x] [y] D. X/y

Answers

Answer:

A. X + Y

Step-by-step explanation:

From this question x = -2 and y = -5

We are to find out the expression that would give a negative value.

X+Y

(-2)+(-5)

+(-) gives a negative sign. So we have

= -2-5

= -7

For x - y

(-2) - (-5)

-(-) = positive

= -2 + 5

= 3.

For [x][y]

= (-2) x (-5)

= 10

since a negative sign multiplied with another negative sign gives a positive result

For X/Y

= -2/-5

= 2/5 the result here is positive because 2 negative signs when divided cancel out.

Therefore the answer is option A since it's result is negative. Others are positive

Leon got a reduction of $40 on a Geometry set
which was marked $480.
(a) What fraction was the reduction?
(b) What percentage was the reduction?
(c) What percentage of the cost did Leon
pay for the Geometry set?

Answers

I pretty sure this one is b
A) 40/480 reduced to 1/12

B) (1/12) x 100 = 8.33%

C) 100% - 8.33% = 91.67%

Help me out please an thank you

Answers

Answer:

Answer is D

Step-by-step explanation:

because its sideways its x = y^2

and because its facing right its positive.

Alexa wants to purchase some new supplies for making jewelry

Answers

Answer:

B A A

Step-by-step explanation:

Please this is due in an hour!!!!!!

Answers

Answer:

22 pounds of shrimp

Step-by-step explanation:

Hope this helped!

Muffins come in 3 sizes, 4 flavors, and with or without nut toppings. How many combinations are in the sample space?

Answers

Answer:

9 combinations are in the sample space

Step-by-step explanation:

Well there's 3 sizes 4 flavors and with or without nuts

3(Sizes)+ 4(flavors)+ 2(with or without)

Therefor when you add those up you get 9 things people can choose from, known as the sample space.

write the expression in exponential form.

Answers

Answer:

[tex] \sqrt[7]{ {x}^{2} } [/tex]

Step-by-step explanation:

can be rewrite as

[tex] \sqrt[n]{a} {2}[/tex]

so x

[tex] {x}^{2 \div 7} [/tex]

Please Help!!! Find the approximate volume by using 3.14 (not the pi key) Round to the nearest hundredth when necessary show your work!

Answers

give me 1 sec i will send it over

The approximate volume of first cone is 709[tex]mi^{3}[/tex] and the volume of second cone is 262 [tex]cm^{3}[/tex].

What is volume?

Volume is amount of substance a container can hold in its capacity. Volume of cone is basically 1/3 *π[tex]r^{2}h[/tex] in which r is radius and h is height of cone.

How to calculate volume?

We have been given two cones. First is having radius of 7 mi and

height 14 mi and second is having radius of 5 cm and height of 10 cm. We are required to find out the volume of both the cones.

Volume of first cone=1/3 *π[tex]7^{2}* 14[/tex]

=(49*3.14*14)/3

=708.86

Approximately 709 [tex]mi^{3}[/tex]

Volume of second cone =1/3π[tex]5^{2} *10[/tex]

=(25*3.14*10)/3

=261.67

Approximately 262 [tex]cm^{3}[/tex].

Hence the approximate volume of first cone is 709[tex]mi^{3}[/tex] and the volume of second cone is 262 [tex]cm^{3}[/tex].

Learn more about volume at https://brainly.com/question/463363

#SPJ2

(4c+3d) - (6c-6d) - (3c-5d)
Simplify please <3

Answers

Answer:

Solution

−5+14

Step-by-step explanation:

Distribute

(4+3)−1(6−6)−1(3−5)

(4+3)−6+6−1(3−5)

Distribute

(4+3)−6+6−1(3−5)

(4+3)−6+6−3+5

(4c+3d) - (6c-6d) - (3c-5d) (4+3)−6+6−3+5

4+3−6+6−3+5

Combine like terms

4+3−6+6−3+5

−5+3+6+5

Combine like terms

−5+3+6+5

−5+14

Solution

−5+14

pls answer ill give brainliest to the best

Which number line shows a graph of the inequality x > −25?

Answers

Answer:

D im pretty sure :) hope this helps

Step-by-step explanation:

i’m pretty sure it’s b!!

Video club A charges $10 for membership and. $4 per movie rental. Video club B charges $15 for membership and $3 per movie rental. For how many rentals will be cost be the same at both video clubs? What is that cost?

Answers

Answer:

5 rentals for $30

Step-by-step explanation: *using y = mx + b*

Info Given:

Video Club A-

$10 (would be your b)

$4 (would be your x)

Video Club B-

$15 (would be your b)

$3 (would be your x)

HOW TO SOLVE:

Video Club A - y = 4x + 10

Video Club B - y = 3x + 15

Set them equal to eachother to solve for x!

4x + 10 = 3x + 15

     - 10         - 10

4x = 3x + 5

-3x -3x

x = 5 rentals

Plug in the x into both or just one equation to find the price!

y = 4x + 10

  = 4(5) + 10

  = 20 + 10

y = $30

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