Question

Найдите корень уравнения (1/2)^х−4=8^х

Answer 1

$(frac{1}{2})^{x-4}=8^x\ \ 2^{4-x}=2^{3x}\ \ 4-x=3x \ \ 4=4x \ x=1 \ \ OTBET: 1$

Answer 2

(1/2)ˣ−4=8ˣ

2⁻⁽ˣ⁻⁴⁾=2³ˣ

2⁻ˣ⁺⁴=2³ˣ

-х+4=3х

-4х=-4

х=1