Question

log(b)√5x=

Answer 1

\[\large \log_{b}(\sqrt{5x})\]


\[\large \log_{b}((5x)^{\frac{1}{2}})\]


\[\large \frac{1}{2}\log_{b}(5x)\]


\[\large \frac{1}{2}\left(\log_{b}(5)+\log_{b}(x)\right)\]
So \[\large \log_{b}(\sqrt{5x})=\frac{1}{2}\left(\log_{b}(5)+\log_{b}(x)\right)\]