Question

Expand this log thanks for your help :)

Answer 1

`log(y^(3)\sqrt{((x + 4)^(9))/(z)})`

`log(y^(3)\sqrt{((x + 4)^(8)(x + 4))/(z)}`

`log(\frac{y^(3)\sqrt{(x + 4)^(8)}√((x + 4))}{√(z)})`

`log((y^(3)(x + 4)^(4)√((x + 4)))/(√(z)))`

`log((y^(3)(x + 4)^(4)√(z(x + 4)))/(√(z)√(z)))`

`log((y^(3)(x + 4)^(4)√(z(x) + z(4)))/(√(z * z)))`

`log(\frac{y^(3)(x + 4)^(4)√(xz + 4z)}{\sqrt{z^(2)}})`

`log((y^(3)(x + 4)^(4)√(xz + 4z))/(z))`

`(log(y^(3)) + log((x + 4)^(4)) + log(√(xz + 4z))) - log(z)`

`(3log(y) + 4log(x + 4) + (1)/(2)log(xz + 4z)) - log(z)`

`3log(y) + 4log(x + 4) + (1)/(2)log(xz + 4z) - log(z)`