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

balajia | Student

`ln(x^2(x+2))^(1/2)=(1/2)ln(x^2(x+2))`

`=(1/2)lnx^2+(1/2)ln(x+2)`

`=(2/2)lnx+(1/2)ln(x+2)`

`=lnx+(1/2)ln(x+2)`