Question

se x=log1 sobre 2 16 raiz quinta de 2 e y(2)elevado 2log37.log2 elevado a3 de 5x+y é

Answer 1

$x=log_\frac{1}{2}\ 16\sqrt[5]{2}\\ \\ x=log_ \frac{1}{2}\ (2^4\cdot2^{\frac{1}{5}}) \\ \\ x=log_ \frac{1}{2}\ (2^{4+\frac{1}{5}})\\ \\ x=log_ \frac{1}{2}\ (2^{\frac{20}{5}+\frac{1}{5}})$
$\\ x=\frac{log_2 \ 2^{\frac{21}{5}}}{log_2\ \frac{1}{2}}\\ \\ x=\frac{\frac{21}{5}\cdot log_2 \ 2}{log_2\ 2^{-1}}\\ \\ x=\frac{\frac{21}{5}\cdot log_2 \ 2}{-1\cdot log_2\ 2}\\ \\ x=\frac{\frac{21}{5}\cdot 1}{-1\cdot 1}\\ \\ x=\frac{21/5}{-1}\\ \\ x=-\frac{21}{5}\\\\S=\{-\frac{21}{5}\}$