Question

How do I expand In(m^2n^3)/(sqrt(p))?

Answer 1

The expression equals `2lnm +3lnn - 1/2lnp`.

Explanation:

Remember you logarithm laws. Given `ln((m^2n^3)/sqrt(p))`, we can use `ln(ab) = lna + lnb` and `ln(a/b) = ln(a - b)`. It's also helpful to know that `ln(a^n) = nlna`.

Therefore:

`= ln(m^2) + ln(n^3) - ln(sqrt(p))`

`=2lnm + 3lnn - 1/2lnp ->` because `sqrt(x) = x^(1/2)`

Hopefully this helps!