Question

by converting to exponential form find the values of log 4 ki power 8​

Answer 1

$\large\mathcal \red{QUESTION - } \\ \\ \implies log_{4}(8) \\ \\ \mathcal \orange{SOLUTION - } \\ \\ \implies \: log_{4}(8) \\ \\ \implies \: log_{ {2}^{2} }( {2}^{3} ) \\ \\ \implies \: \frac{3}{2} \: log_{2}(2) = \frac{3}{2}$

$\large\texttt\pink{Another \: Method-}$

$\implies \: log_{4}(8) = x \\ \\ \implies \: 8 = {4}^{x} \\ \\ \implies \: {2}^{3} = {2}^{2x} \\ \\ \implies \: 3 \: = 2x \\ \\ \implies x = \frac{3}{2}$