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