Question

log 343 49

Answer 1

If the question is, \(\LARGE\color{blue}{ \log_{343}49 }\) then it would be good to know that
\(\large\color{black}{ 7^2=49 }\)
\(\large\color{black}{ 7^3=343 }\)

So,
\(\large\color{black}{ \log_{343}49= }\)

\(\large\color{black}{ \log_{343}(343^{2/3})= }\)

\(\large\color{black}{ \frac{2}{3}\log_{343}(343)= }\)

\(\large\color{black}{ \frac{2}{3}\times 1= }\)

\(\large\color{black}{ \frac{2}{3}. }\)