Question

Розв'яжіть рівняння ​

Answer 1

Ответ:

Объяснение:

0,25ˣ=∛2

(1/4)ˣ=2^(1/3)

(1/2²)ˣ=2^(1/3)

(2⁻²)ˣ=2^(1/3)

2⁻²ˣ=2^(1/3)

-2x=(1/3)

x=(1/3)/(-2)

x=-1/6

Answer 2

$0.25 {}^{x} = \sqrt[3]{2} \\ ( \frac{1}{4} ) {}^{x} = 2 {}^{ \frac{1}{3} } \\ ( \frac{1}{2 {}^{2} } ) {}^{x} = 2 {}^{ \frac{1}{3} } \\ (2 {}^{ - 2} ) {}^{x} = 2 {}^{ \frac{1}{3} } \\ 2 {}^{ - 2x} = 2 {}^{ \frac{1}{3} } \to \: \\ - 2x = \frac{1}{3} \\ x = \frac{1}{3} \div ( - 2) = - \frac{1}{3} \times \frac{1}{2} = - \frac{1}{6}$