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Solve the Problem 2x=32 ^ { x } = 3 Can Be Expressed in Three Forms

Question 370

Multiple Choice

Solve the problem.
-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.
5X=125 ^ { \mathrm { X } } = 12


A) log512;log5log12;ln5ln12\log _ { 5 } 12 ; \frac { \log 5 } { \log 12 } ; \frac { \ln 5 } { \ln 12 }
B) log512;log12log5;ln12ln5\log _ { 5 } 12 ; \frac { \log 12 } { \log 5 } ; \frac { \ln 12 } { \ln 5 }
C) log125;log12log5;ln12ln5\log _ { 12 } 5 ; \frac { \log 12 } { \log 5 } ; \frac { \ln 12 } { \ln 5 }
D) log125;log5log12;ln5ln12\log _ { 12 } 5 ; \frac { \log 5 } { \log 12 } ; \frac { \ln 5 } { \ln 12 }

Correct Answer:

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