Question

терміново((



64 ^ (5x - 1) = 16​

Answer 1

Ответ:

$x = \frac{1}{3}$

Объяснение:

$64 {}^{(5x - 1)} = 16$

$(2 {}^{6} ) {}^{(5x - 1)} = 16$

$2 {}^{6(5x - 1)} = 2 {}^{4}$

$6(5x - 1) = 4$

$30x - 6 = 4$

$30x = 4 + 6$

$30x = 10$

$x = 10 \div 30$

$x = \frac{1}{3}$

Проверка:

$64 {}^{(5 \times \frac{1}{3} - 1) } = 16$

$64 {}^{( \frac{5}{3} - 1)} = 16$

$64 {}^{ \frac{2}{3} } = 16$

$\sqrt[3]{64 {}^{2} } = 16$

$\sqrt[3]{2 {}^{6 \times 2} } = 16$

$\sqrt[3]{2 {}^{12} } = 16$

$2 {}^{ \frac{12}{3} } = 2 {}^{4}$

$2 {}^{4} = 2 {}^{4}$

$16 = 16$

$16 - 16 = 0$

$0 = 0$

Ответ:

$x = \frac{1}{3}$