Question

Log de 0,125 (na base 4 raiz de 2 ) ?

Answer 1

$log_{4 \sqrt{2} }0,125 = x \\ \\ (4. \sqrt{2})^{x}=0,125 \\ \\ (4. \sqrt{2})^{x}= \frac{125}{1000} \\ \\ (4. \sqrt{2})^{x}= \frac{1}{8} \\ \\ (4. \sqrt{2})^{x}=8^{-1} \\ \\ (2^{2}.2^{ \frac{1}{2} })^{x}=(2^{3})^{-1} \\ \\ (2^{ \frac{5}{2} })^{x}=2^{-3} \\ \\ \frac{5}{2} .x = -3 \\ \\ 5.x = -6 \\ \\ x = - \frac{6}{5}$

Espero ter ajudado.