`ln((x^2)/(y^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.)

Textbook Question

Chapter 3, 3.3 - Problem 52 - Precalculus (3rd Edition, Ron Larson).
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loves2learn | (Level 3) Salutatorian

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Expand by subtracting the terms because they are divided inside of the ln.

Given,

`ln(x^2/y^3) `

Then,

` ln(x^2/y^3) =lnx^2-lny^3`

Bring down the exponents,

`ln(x^2/y^3) =2lnx-3lny`

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