Question

$\: if \: log_{ \sqrt{8} }x = 3 \times \frac{1}{3}.. \\ then \: find \: the \: value \: of \: x..$lütfen sorunu çözün..​

Answer 1

Explicación paso a paso:

$log_{ \sqrt{8} }x = \frac{10}{3} \\ = > x = ( \sqrt{8} ) ^{ \frac{10}{3} } \\ = (2 ^{ \frac{3}{2} } ) {}^{ \frac{10}{3} } \\ = 2 {}^{( \frac{3}{2 } \times \frac{10}{3} ) } \\ = 2 ^{5} = 32...$