Question

Dada a função f(×)=㏒=1/2 ⁡x , então calcule o valor de f 1/8 .

Answer 1

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