Question

Use the equation, 16^2x=32^(x+3), to complete the following problems.

Rewrite the equation using the same base.
Solve for x. Write your answer in simplest form

Answer 1

x = 5

Explanation:

2⁴(2x) = 2⁵(x + 3)

2^8× = 2^5x + 15

cancel out the 2

8x = 5x + 15

8x - 5x = 15

3x = 15

divide through by 3

x = 5