Question 197682
*[Tex \LARGE 4\log_{3}\left(x\right) + \log_{3}\left(7\right) ] ... Start with the given expression.



*[Tex \LARGE \log_{3}\left(x^{4}\right) + \log_{3}\left(7\right) ] ... Rewrite the first log using the identity  {{{y*log(b,(x))=log(b,(x^y))}}}



*[Tex \LARGE \log_{3}\left(x^{4}\ast 7\right)] ... Combine the logs using the identity {{{log(b,(A))+log(b,(B))=log(b,(A*B))}}}



*[Tex \LARGE \log_{3}\left(7x^{4}\right)] ... Rearrange the terms.



So *[Tex \LARGE 4\log_{3}\left(x\right) + \log_{3}\left(7\right) = \log_{3}\left(7x^{4}\right)]