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

question 370

Multiple Choice

Solve the problem.
-The exact solution to an exponential equation such as $2 ^ { x } = 3$ can be expressed in three forms:
$\log _ { 2 } 3 , \frac { \log 3 } { \log 2 }$ , or $\frac { \ln 3 } { \ln 2 }$ . Give the exact solution to the following exponential equation in three forms.
$$5 ^ { \mathrm { X } } = 12$$

• A) \(\log _ { 5 } 12 ; \frac { \log 5 } { \log 12 } ; \frac { \ln 5 } { \ln 12 }\)
• B) \(\log _ { 5 } 12 ; \frac { \log 12 } { \log 5 } ; \frac { \ln 12 } { \ln 5 }\)
• C) \(\log _ { 12 } 5 ; \frac { \log 12 } { \log 5 } ; \frac { \ln 12 } { \ln 5 }\)
• D) \(\log _ { 12 } 5 ; \frac { \log 5 } { \log 12 } ; \frac { \ln 5 } { \ln 12 }\)

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