Question

Solve
$limx\to 5\frac{\log x-\log 5}{(x-5)}$

Answer 1

Now,

${lim}_{x\to 5}\frac{(\log x-\log 5)}{x-5}\left(\frac{0}{0}form\right)$

Now, applying $L^{\prime }$ Hospital's rule we get,

${lim}_{x\to 5}\frac{\left(yx\right)}{x}=\left(y5\right)$