Question

Solve for x, 2𝑙𝑛3𝑥 = 4?

I am new to laws of exponents, I want to confirm if the answer I found x=(e^2)/3 is correct.

Answer 1

`x=1/3e^2`

Explanation:

`"your answer is correct"`

`2ln3x=4`

`rArrln3x=2`

`color(blue)"raise each side to exponent e"`

`•color(white)(x)e^(lnx)=x`

`rArre^(ln3x)=e^2`

`rArr3x=e^2`

`rArrx=1/3e^2`