I want to check my work to see if what I got is correct

Question

Use the properties of logarithms to expand the logarithm as much as possible. Rewrite the expression as a sum, difference, or product of logs.

log(√x³y^-4)

Answer 1

Log√x³y^-4=log√x³+logy^-4 (log(ab)=loga+logb)

^{=3/2logx-4logy. log(a^m)=mloga}