Question

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 simplest form.

Answer 1

Given: ,8^2x= 32^x+3

a: (2³)^2x = (2⁵)^x+3

b: Solving, we get

2^6x = 2^5x+15

Since bases are same, we have

=>6x=5x+15

=> x = 15