Question

Expand this log thanks for your help :)

Answer 1

$log(y^{3}\sqrt{\frac{(x + 4)^{9}}{z}})$
$log(y^{3}\sqrt{\frac{(x + 4)^{8}(x + 4)}{z}}$
$log(\frac{y^{3}\sqrt{(x + 4)^{8}}\sqrt{(x + 4)}}{\sqrt{z}})$
$log(\frac{y^{3}(x + 4)^{4}\sqrt{(x + 4)}}{\sqrt{z}})$
$log(\frac{y^{3}(x + 4)^{4}\sqrt{z(x + 4)}}{\sqrt{z}\sqrt{z}})$
$log(\frac{y^{3}(x + 4)^{4}\sqrt{z(x) + z(4)}}{\sqrt{z * z}})$
$log(\frac{y^{3}(x + 4)^{4}\sqrt{xz + 4z}}{\sqrt{z^{2}}})$
$log(\frac{y^{3}(x + 4)^{4}\sqrt{xz + 4z}}{z})$
$(log(y^{3}) + log((x + 4)^{4}) + log(\sqrt{xz + 4z})) - log(z)$
$(3log(y) + 4log(x + 4) + \frac{1}{2}log(xz + 4z)) - log(z)$
$3log(y) + 4log(x + 4) + \frac{1}{2}log(xz + 4z) - log(z)$