# How do you expand log (a^4/(b^3sqrtc))?

Jun 12, 2016

$= 4 \log a - 3 \log b - \frac{1}{2} \log c$

#### Explanation:

Break the term into separate log terms first:

$\log \left({a}^{4} / \left({b}^{3} \sqrt{c}\right)\right) = \log {a}^{4} - \log {b}^{3} - \log \sqrt{c}$

Now apply some some log and indices laws

=$4 \log a - 3 \log b - \log {c}^{\frac{1}{2}}$

$= 4 \log a - 3 \log b - \frac{1}{2} \log c$