Question

Solve for x: `(2^(2x - 1))/(2^(x + 2))` = 4

Answer 1

`(2^(2x - 1))/(2^(x + 2))` = 4

`2^(2x – 1 – (x + 2))` = 2²

`2^(2x – 1 – x – 2)` = 2²

`2^(2x – 3)` = 2²

Equating the powers of the same base 2.

x – 3 = 2

x – 3 + 3 = 2 + 3

x = 5