sederhanakan a. a log a/ akar x-a log akar ax b. log akar a+log akar bb-1/2 log ab

[tex]$\begin{align} \ ^{a}log~ \frac{a}{ \sqrt{x} }-^{a}log~ \sqrt{ax} &=~^{a}log~( \frac{a}{ \sqrt{x} }\times \frac{1}{ \sqrt{a} \sqrt{x} }) \\&=~ ^{a}log~ \frac{a}{x \sqrt{a} } \\&=~^{a}log~ \frac{ \sqrt{a} }{x}\\&=~^{a}log~ a^{ \frac{1}{2} } -^{a}log~x\\&= \frac{1}{2}-^{a}log~x \end{align} [/tex]

[tex]$\begin{align} \ log~ \sqrt{a} +log~ \sqrt{b} - \frac{1}{2} .log~ab&=log( \sqrt{a} \times \sqrt{b} )-log (ab)^{ \frac{1}{2} } \\&=log \sqrt{ab} -log \sqrt{ab}\\&=0\end{align} [/tex]