Question

Log6(2x+3)=3

Answer 1

\[\large \log_{a} (x) = b \rightarrow a^{\log_{a} x} = a^b \rightarrow x = a^b\]
So:\[\large log_{6}(2x+3)=3\]\[\large 2x+3=6^{3}\]\[\large 2x = 6^{3} - 3\]\[\large x = \frac{ 6^{3} - 3 }{ 2 } = \frac{213 }{ 2 } \]