Use the equation, 8^2x = 32^x+3 , to complete the following problems.

(a) Rewrite the equation using the same base.

(b) Solve for x. Write your answer in the simplest form.

Side note: For your answers, I ask that you show your work so that I can review it and hopefully understand how to do this myself in the future!

(a) Rewrite the equation using the same base.

(b) Solve for x. Write your answer in the simplest form.

Side note: For your answers, I ask that you show your work so that I can review it and hopefully understand how to do this myself in the future!

Answer

5
(2 stars)

2

semsee45
2 years ago

2792 response - 0 helps
**Answer:**

__Question (a)__

Given equation:

8 can be written as

32 can be written as

Therefore, we can rewrite the equation with base 2:

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__Question (b)__

To solve:

Apply the exponent rule :

:

Subtract from both sides:

Is this 8^(2x) = 32^(x+3)?

Yup