Question

How do you solve `Ln(x+2)+ln(x-2)=3`?

Answer 1

`x~~4.9`

Explanation:

`ln(x+2)+ln(x-2)=3`
`ln[(x+2)(x-2)]=3`-> use property `log_bx+log_by=log_b(xy)`
`ln (x^2-4) =3`
`e^3=x^2-4`-> use definition `log_bx=n iffb^n=x`
`e^3+4=x^2`-> solve for x
`x=+-sqrt(e^3+4)`
`x~~4.9, x~~`-4.9