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For the following exercises, use the change-of-base formula to evaluate each expression as a quotient of natural logs. Use a calculator to approximate each to five decimal places.$$\log _{6}(5.38)$$
$y=20$
Algebra
Chapter 6
Exponential and Logarithmic Functions
Section 5
Logarithmic Properties
Functions
Missouri State University
Oregon State University
Baylor University
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problem number 2 83 So here's a lager rhythmic expression, and we're going to use the change of based formula to change it to natural logs. So noticed that our bases, currently six and in the formula that's in the position of B and that's going to end up as the argument of the bottom La Guerry them and then also noticed they were taking the log of 5.38 And that and the formula is in the position of em. So that's going to end up as the argument of our top lager of them. And then when you look at the end here, when we change the base too new to the new base in that is going to be our new base e. So we're going to end up with natural log of 5.38 over natural log of six. And then we put that in the calculator and we get approximately 0.93913
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