`log_6 (1/z^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 42 - Precalculus (3rd Edition, Ron Larson).
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loves2learn | (Level 3) Salutatorian

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Expand using subtraction,

`log_6(1/z^3)=log_6(1)-log_6z^3 `

Bring down the exponent,

`log_6(1/z^3)=log_6(1)-3log_6z = 0 - 3log_6z`

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