Question

Expand logarithmic expression

Answer 1

3log(x^5 y^-2 z) =
3 (5logx - 2logy + logz) =
15logx - 6logy + 3logz

Answer 2

$\log{\sqrt[3]{\frac{x^{5}z}{y^{2}}}$

$\log({\frac{x^{5}z}{y^{2}})^{\frac{1}{3}}$

$\frac{1}{3}\log\frac{x^{5}z}{y^{2}}$

$\frac{1}{3}(\log(x^{5}z)-2\log(y))$

$\frac{1}{3}(5\log(x)+\log(z)-2\log(y))$

$\frac{5}{3}\log(x)+\frac{1}{3}\log(z)-\frac{2}{3}\log(y)$