Question

How do you solve `ln6x +ln2x = ln13`?

Answer 1

`x=sqrt(13/12)=1.041`, nearly.

Explanation:

`ln a+ln b = ln ab`
So, `ln(6x)(2x))=ln(12x^2)=ln 13`
So, `12x^2=13`
`x^2=13/12`
`x=+-sqrt(13/12)`
For the given form, negative solution is inadmissible.