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

1 Answer
Dec 19, 2017

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!