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The Exact Solution to an Exponential Equation Such As 2x=32 ^ { x } = 3

Question 438

Multiple Choice

The exact solution to an exponential equation such as 2x=32 ^ { x } = 3 can be expressed in three forms: log23,log3log2\log _ { 2 } 3 , \frac { \log 3 } { \log 2 } , or ln3ln2\frac { \ln 3 } { \ln 2 } . Give the exact solution to the following exponential equation in three forms.
3x=153 ^ { x } = 15


A) log315;log3log15;ln3ln15\log _ { 3 } 15 ; \frac { \log 3 } { \log 15 } ; \frac { \ln 3 } { \ln 15 }
B) log153;log3log15;ln3ln15\log _ { 15 } 3 ; \frac { \log 3 } { \log 15 } ; \frac { \ln 3 } { \ln 15 }
C) log153;log15log3;ln15ln3\log 153 ; \frac { \log 15 } { \log 3 } ; \frac { \ln 15 } { \ln 3 }
D) log315;log15log3;ln15ln3\log _ { 3 } 15 ; \frac { \log 15 } { \log 3 } ; \frac { \ln 15 } { \ln 3 }

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