Question

log(b) sqrt(3 x)=

Answer 1

\[\large \log_{b}(\sqrt{3x})\]


\[\large \log_{b}((3x)^{\frac{1}{2}})\]


\[\large \frac{1}{2}\log_{b}(3x)\]


\[\large \frac{1}{2}\left(\log_{b}(3)+\log_{b}(x)\right)\]
So \[\large \log_{b}(\sqrt{3x})=\frac{1}{2}\left(\log_{b}(3)+\log_{b}(x)\right)\]