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Evaluating logarithms – Example 1: Evaluate: \(log_{2}{16}\) Solution: Rewrite \(16\) in power base form: \(16=2^4\), then: \(log_{2}{16}=log_{2}{(2^4)}\) Use log rule: \(log_{a}{x^b}=b log_{a}{x}\), then: \(log_{2}{(2^4)}=4log_{2}{2}\) Use log rule: \(log_{a}{a}=1\), then: \( 4log_{2}{2}=4\times1=4\) The Absolute Best Books to Ace Pre-Algebra to Algebra II Evaluating logarithms – Example 2: Evaluate: \(log_{6}{216}\) Solution: Rewrite \(216\) in power base form: […]
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