`log_2 ((x^4)sqrt(y/(z^3)))` 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

Expand using addition (log multiplication) and subtraction (log division)

`log_2x^4+log_(2)((sqrty)/(sqrt(z^3))) `

Simplify and bring down the exponents

`4log_2x+(1/2)log_2y-(3/2)log_2z `