`ln((x^2 - 1)/(x^3)), x > 1` 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 48 - Precalculus (3rd Edition, Ron Larson).
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loves2learn | (Level 3) Salutatorian

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Expand using subtraction because the terms are being divided in the ln.

Given,

`ln((x^2-1)/(x^3)) `

Then, after expanded and bringing down the exponents where necesarry

`ln((x^2-1)/(x^3))= ln(x^2-1)-3lnx, x>1`

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