b) log_82=log_8\sqrt[3]{8}=log_88^{\frac{1}{3}}=\frac{1}{3}
c)
log_{36}6=log_{36}\sqrt{36}=log_{36}36^{\frac{1}{2}}=\frac{1}{2}
d)
log_{125}5=log_{125}\sqrt[3]{125}=log_{125}125^{\frac{1}{3}}=\frac{1}{3}
e)
log_{\frac{1}{2}}4=log_{\frac{1}{2}}2^2=log_{\frac{1}{2}}(\frac{1}{2})^{-2}=-2
f)
log_{\frac{1}{3}}27=log_{\frac{1}{3}}3^3=log_{\frac{1}{3}}(\frac{1}{3})^{-3}=-3
g)
log_{\frac{1}{5}}625=log_{\frac{1}{5}}5^4=log_{\frac{1}{5}}(\frac{1}{5})^{-4}=-4
h)
log_{\frac{1}{6}}36=log_{\frac{1}{6}}6^2=log_{\frac{1}{6}}(\frac{1}{6})^{-2}=-2