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If logba = 0.82, then the value of logb(b/a), correct to the nearest hundredth, is
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Using the Laws of Logarithm:
`log_b (b/a) = log_b b - log_b a`
On the other hand, `log_b b = 1`
We know that `log_b a = 0.82`
Hence, `log_b (b/a) = 1 - 0.82 = 0.18.`
Final answer is 0.18.
Posted by mvcdc on May 13, 2013 at 9:36 AM (Answer #1)
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