Question

How do you solve `Ln (x) - Ln (x-1) = Ln (3)`?

Answer 1

`x=3/2`

Explanation:

`ln(x)-ln(x-1)=ln3`
We know that:

`ln(y/z)=lny-lnz`

Here `y=x and z=x-1`
`implies ln(x/(x-1))=ln3`

`implies (x/(x-1))=3`

`implies x=3(x-1)`
`implies x=3x-3`
`implies 2x=3`
`implies x=3/2`