Question

Помогите решить (1/4)^(x-4)=1/64

Answer 1

$\frac{1}{4}^{x-4} =\frac{1}{64} \\2^{-2x+8} = 2^{-6} \\-2x+8=-6\\-2x=-14\\x=7$

Answer 2

(1/4)^(x-4)=1/64

(1/4)^(x-4)=1/(4^3)

(1/4)^(x-4)=(1/4)^3

x-4=3

x=7