Ох, уж, эти логарифмы34 задание

1) [latex]log_{c^y}x= \frac{1}{y}*log_c(x) [/latex] 2) [latex]log_x(y)= \frac{log_z(y)}{log_z(x)} [/latex] [latex]log_ \frac{1}{2}(a)=log_{2^{-1}}(a)= \frac{1}{-1}*log_2(a)=-log_2(a)[/latex] [latex]log_8(a)=log_{2^3}(a)= \frac{1}{3}*log_2(a)= \frac{log_2(a)}{3} [/latex] [latex]log_ \frac{1}{4}(a)=log_{2^{-2}}(a)= \frac{1}{-2}*log_2(a)=-0.5log_2(a)[/latex] [latex]log_{\sqrt{2}}(a)=log_{2^\frac{1}{2}}(a)= \frac{1}{ \frac{1}{2} } *log_2(a)=2log_2(a)[/latex] [latex]log_3(a)= \frac{log_2(a)}{log_2(3)} [/latex]