Question

Log de 0,125 na base raiz de 8

Answer 1

$log_{ \sqrt{8} }(0,125) = log_{ {8}^{ \frac{1}{2} } }( \frac{1}{8} ) \\ = 2 log_{8}( \frac{1}{8} ) \\ = 2( log_{8}(1) - log_{8}(8) )$

$2(0 - 1) = 2( - 1) = - 2$