`ln(root(4)((x^3)(x^2 + 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.)

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balajia | College Teacher | (Level 1) eNoter

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`ln((x^3)(x^2+3))^(1/4) = (1/4)ln(x^3(x^2+3))`

`=(1/4)lnx^3+(1/4)ln(x^2+3)`

`=(3/4)lnx+(1/4)ln(x^2+3)`