Question

How do you simplify `ln(3x^2-9x)+ln(1/(3x))`?

Answer 1

`log (x-3)`, x > 3.

Explanation:

Use log `abc = log a + log b + log c and log(1/d) = - log d`,

`log (3x^2-9x)+log(1/(3x))`

`=log((3)(x)(x-3))-log( (3)(x))`

`=log 3+log x + log(x-3)-log 3 - log x`

`=log (x-3)`, with x > 3..