`ln(6/sqrt(x^2 + 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 50 - Precalculus (3rd Edition, Ron Larson).
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loves2learn | (Level 3) Salutatorian

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Expand by using subtraction,

Given,

`ln(6/sqrt(x^2+1)) `

Then, expanding and bringing down the exponent where necessary,

`ln(6/sqrt(x^2+1))=ln6-(1/2)ln(x^2+1) `

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