`log_b ((2b)^-2)` Approximate the logarithm using the properties of logarithms, given `log_b (2) ~~ 0.3562, log_b (3) ~~ 0.5646, and log_b (5) ~~ 0.8271`.

Textbook Question

Chapter 3, 3.3 - Problem 64 - Precalculus (3rd Edition, Ron Larson).
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balajia | College Teacher | (Level 1) eNoter

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`log_b(2b)^(-2) = (-2)log_b(2b)`

`=(-2)(log_b(2)+log_b(b))`

`=(-2)(0.3562+1)`

`=-2.7124`

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