Question

Expand the logarithmic expression.
log5^7a^5

Answer 1

hint:
I can rewrite your expression as below:

\[\log \left( {{5^7}{a^5}} \right) = \log \left\{ {\left( {{5^7}} \right) \cdot \left( {{a^5}} \right)} \right\}\]
now, please apply this properties:
\[\begin{gathered}
\log \left( {{x^k}} \right) = k\log x,\quad k \in \mathbb{R} \hfill \\
\log \left( {x \cdot y} \right) = \log x + \log y,\quad x,y > 0 \hfill \\
\end{gathered} \]

Answer 2

oops.. apply these* properties...