Question

Logarithm question

Answer 1

\(\large \color{black}{\begin{align}&\text{express }\ \log \dfrac{a^{2/3}}{b^{5}\sqrt{c}} \hspace{.33em}\\~\\
& a.)\ \dfrac{3}{2}\log a+5\log b-2\log c \hspace{.33em}\\~\\
& b.)\ \dfrac{2}{3}\log a-5\log b-2\log c \hspace{.33em}\\~\\
& c.)\ \dfrac{2}{3}\log a-5\log b+2\log c \hspace{.33em}\\~\\
& d.)\ \dfrac{3}{2}\log a+5\log b-2\log c \hspace{.33em}\\~\\
\end{align}}\)

Answer 2

we need the log rules for this one... so all three of them are being used.