Question

Need help on these two please

Answer 1

• Given below.

Explanation:

Q.1.

`ln\left(4\right)+\:ln\left(x\right)=ln\left(24\right)`

apply ln rules:

`ln( 4 * x) = ln (24)`

cancel ln from both sides:

`4x = 24`

divide both sides by 4:

`x = 6`

Q.2.

`2ln\left(x\right)=ln\left(4\right)+ln\left(9\right)`

apply ln rules:

`ln\left(x^2\right)=ln\left(4*9\right)`

cancel ln from both sides:

`x^2 = 36`

`x = \pm6`

as ln cannot be negative:

`x = 6`