Logarithm Expansion Question How do you expand the following logarithm:
$$ \log_5 \left(\frac{u}{v^3}\right)^6 $$
The result I got was:
$$ 6\log_5u -18\log_5v $$
Is that fully expanded?

Do you mean $\log_5 ((\frac{u}{v^3})^6)$ or $(\log_5 (\frac{u}{v^3}))^6$? If it is the former your answer is correct; if it is the latter it simplifies to $(\log_5 (u)-3\log_5(v))^6$ instead.
