`ln((x^2)sqrt(y/z))` 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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loves2learn | (Level 3) Salutatorian

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

`lnx^2+ln(sqrt(y/z)) `

` ` `2lnx+ln((sqrty)/(sqrtz)) `

`2lnx+(1/2)lny-(1/2)lnz `