Expand each logarithm. \(\color{blue}{log (12×6)=}\) \(\color{blue}{log (9×4)=}\) \(\color{blue}{log (3×7)=}\) \(\color{blue}{log{\frac{3}{4}}}\) \(\color{blue}{log{\frac{5}{7}}}\) \(\color{blue}{log({\frac{2}{5}})^3}\) \(\color{blue}{log (2×3^4)=}\) \(\color{blue}{ log({\frac{5}{7}})^4}\) Answers \(\color{blue}{log 12+log 6}\) \(\color{blue}{ log 9+log 4}\) \(\color{blue}{log 3+log 7}\) \(\color{blue}{ log 3-log 4}\) \(\color{blue}{ log 5-log 7}\) \(\color{blue}{3 log 2-3 log 5}\) \(\color{blue}{log 2+4 log 3}\) \(\color{blue}{4log 5-4 log 7}\) The Greatest Books for Students to Ace […]
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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