If $2\log (x+1)-\log \left(x^2-1\right)=\log 2,$ then $x=$

Important Questions on Logarithm and Its Applications

MEDIUM

WBJEE

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 3 - Logarithm and Its Applications>WBJEE 2018>Q 3

If $x+{\log }_{10}\left(1+2^x\right)=x{\log }_{10}5+{\log }_{10}6,$ then the value of $x$ is