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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: log⁡23,log⁡3log⁡2\log _ { 2 } 3 , \frac { \log 3 } { \log 2 } , or ln⁡3ln⁡2\frac { \ln 3 } { \ln 2 } . Give the exact solution to the following exponential equation in three forms. 3x=113 ^ { x } = 11


A) log⁡113;log⁡11log⁡3;ln⁡11ln⁡3\log _ { 11 } 3 ; \frac { \log 11 } { \log 3 } ; \frac { \ln 11 } { \ln 3 }

B) log⁡311;log⁡3log⁡11;ln⁡3ln⁡11\log _ { 3 } 11 ; \frac { \log 3 } { \log 11 } ; \frac { \ln 3 } { \ln 11 }

C) log⁡113;log⁡3log⁡11;ln⁡3ln⁡11\log _ { 11 } 3 ; \frac { \log 3 } { \log 11 } ; \frac { \ln 3 } { \ln 11 }

D) log⁡311;log⁡11log⁡3;ln⁡11ln⁡3\log _ { 3 } 11 ; \frac { \log 11 } { \log 3 } ; \frac { \ln 11 } { \ln 3 }

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