QUESTION 13 - 1 POINT
Use the change of base formula to express $\log_{2} 6$ using $\ln$ , the natural logarithm (log base $e$ ).
Note: When entering natural log in your answer, enter lowercase LN as "In". There is no "natural log" button on the Alta keyboard.
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Final Answer: $2.584962500721156$

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Step 1 ：The change of base formula is given by $\log_{b} a = \frac{\log_{c} a}{\log_{c} b}$ for any positive base $c$ different from 1. In this case, we want to express $\log_{2} 6$ using $\ln$ , so we can take $c = e$ . Therefore, we have $\log_{2} 6 = \frac{\ln 6}{\ln 2}$ .

Step 2 ：After calculating, we get the result as 2.584962500721156.

Step 3 ：Final Answer: $2.584962500721156$

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