Question

How do you solve `2 ln x - ln 3 = 2`?

Answer 1

I found: `x=4.7082`

Explanation:

We can write it as:
`lnx^2-ln3=3`
then:
`ln(x^2/3)=2`
use the definition of log:
`x^2/3=e^2`
`x^2=3e^2`
`x=+-sqrt(3e^2)`
we accept only the positive one:
`x=sqrt(3e^2)=4.7082`