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

question 396

Multiple Choice

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.
$$3 ^ { x } = 15$$

• A) \(\log _ { 3 } 15 ; \frac { \log 3 } { \log 15 } ; \frac { \ln 3 } { \ln 15 }\)
• B) \(\log _ { 15 } 3 ; \frac { \log 3 } { \log 15 } ; \frac { \ln 3 } { \ln 15 }\)
• C) \(\log 153 ; \frac { \log 15 } { \log 3 } ; \frac { \ln 15 } { \ln 3 }\)
• D) \(\log _ { 3 } 15 ; \frac { \log 15 } { \log 3 } ; \frac { \ln 15 } { \ln 3 }\)

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