Respuesta:
[tex]x=3[/tex]
Explicación paso a paso:
[tex]\log _{10}\left(3\right)+\log _{10}\left(x-1\right)=\log _{10}\left(2\right)+\log _{10}\left(x\right)\\\\3\left(x-1\right)=2x\\\\x=3[/tex]
