Question

Solve the following equation for the variable x. ( 1/27 is a fraction )

Answer 1

The answer is,
$\frac{10935}{59048}$
Also equivalent to about, 0.185188.

Answer 2

3^(4x-5) =(1/27)^2x+10
3^(4x-5) =(3^-3)^(2x+10)
3^(4x-5) =3^(-6x-30)
4x - 5 = -6x - 30
10x = -25
    x = -2.5