Question

rewrite the following expression using one or more properties of logarithms and evaluate without a calculato.

Answer 1

`\begin{gathered} \log _5((25^2)/(5)) \\ =\log _5((5^4)/(5)) \\ =\log _5(5^(4-1))^{}^{} \\ =\log _5(5^3) \\ =3\log _55 \\ =3*1 \\ =3\text{ since }\log _55=1 \end{gathered}`