Use the Change-Of-Base Formula to Rewrite the Logarithm as a Ratio

question 34

Multiple Choice

Use the change-of-base formula to rewrite the logarithm as a ratio of logarithms.Then use a graphing utility to graph the ratio.
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F(x) = log₄ x
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• A)f(x)= log x + log 4 = ln x + ln 4 ?
• B) \[f ( x ) = \frac { \log 4 } { \log x } = \frac { \ln 4 } { \ln x }\]
• C) \[f ( x ) = \log \frac { x } { 4 } = \ln \frac { x } { 4 }\]
• D) \[f ( x ) = \log \frac { 4 } { x } = \ln \frac { 4 } { x }\]
• E) \[f ( x ) = \frac { \log x } { \log 4 } = \frac { \ln x } { \ln 4 }\] ?

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