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

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) = log_11.7 x

A) $f ( x ) = \frac { \log x } { \log 11.7 } = \frac { \ln x } { \ln 11.7 }$
B) $f ( x ) = \frac { \log 11.7 } { \log x } = \frac { \ln 11.7 } { \ln x }$
C) f(x) = log x + log 11.7 = ln x + ln 11.7
D) $f ( x ) = \log \frac { 11.7 } { x } = \ln \frac { 11.7 } { x }$
E) $f ( x ) = \log \frac { x } { 11.7 } = \ln \frac { x } { 11.7 }$