Question

determine o logaritmo do numero 8 na base 0,5.

Answer 1

$log_{\frac{1}{2}}8=x\\ \\ (\frac{1}{2})^x=8\\ \\ (2^{-1})^x=2^3\\ \\ 2^{-x}=2^3\\ \\ -x=3\\ \\ \boxed{x=-3}$