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!

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

5 (2 stars)
semsee45 2 years ago
2792 response - 0 helps


Question (a)

Given equation:

8 can be written as

32 can be written as

Therefore, we can rewrite the equation with base 2:


Question (b)

To solve:

Apply the exponent rule :


Subtract from both sides:

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