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Solve the Following Graphically 2x=32 ^ { x } = 3

Question 370

Multiple Choice

Solve the following graphically. If necessary, round answers to the nearest thousandth.
-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=113 ^ { x } = 11


A) log113;log11log3;ln11ln3\log _ { 11 } 3 ; \frac { \log 11 } { \log 3 } ; \frac { \ln 11 } { \ln 3 }

B) log311;log3log11;ln3ln11\log _ { 3 } 11 ; \frac { \log 3 } { \log 11 } ; \frac { \ln 3 } { \ln 11 }

C) log113;log3log11;ln3ln11\log _ { 11 } 3 ; \frac { \log 3 } { \log 11 } ; \frac { \ln 3 } { \ln 11 }

D) log311;log11log3;ln11ln3\log _ { 3 } 11 ; \frac { \log 11 } { \log 3 } ; \frac { \ln 11 } { \ln 3 }

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