`log(4(x^2)y)` Use the properties of logarithms to expand the expression as a sum, difference, and or constant multiple of logarithms. (Assume all variables are positive.)

loves2learn | Student

Since all of the terms are multiplied, one can just expand by adding them all.

Given,

`log(4x^2y) `

Then,

Separate all of the terms and bring the exponents down in front where necessary.

`log(4x^2y)=log4+2logx+logy `