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

Question 206

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.

F(x) = log₄ x

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

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

Multiple Choice

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