How do you condense ln3+1/3ln(4 - x^2) - ln x ?

1 Answer
Jul 16, 2016

= ln[(3(4 - x^2)^(1/3))/x] or it can be written as

ln[(3xxroot(3)(4 - x^2))/x]

Explanation:

If logs are added, the numbers are multiplied.
If logs are subtracted, the numbers are divided.

ln3+1/3ln(4 - x^2) - ln x

=ln3+ln(4 - x^2)^(1/3) - ln x " power law"

= ln[(3(4 - x^2)^(1/3))/x]

or it can be written as

ln[(3xxroot(3)(4 - x^2))/x]