Question

64 • 16^-3x = 16^3x-2

Answer 1

`x = (7)/(12)`

Explanation:

`64 \cdot 16^(-3x) = 16^(3x-2)`

`4^3 \cdot (4^2)^(-3x) = (4^2)^(3x-2)`

`4^3 \cdot 4^(-6x) = 4^(6x-4)`

`4^(-6x+3) = 4^(6x-4)`

`-6x+3 = 6x-4`

`-12x = -7`

`x = (7)/(12)`