In Exercises 71–78, use common logarithms or natural logarithms a...

Question

In Exercises 71–78, use common logarithms or natural logarithms and a calculator to evaluate to four decimal places.logπ 63

Accepted Answer

Hello. Today we're going to enter the given logarithms into a calculator and approximate its value up to four decimal places. So the given expression is the logarithms of base pi of 501. Now, normally most scientific calculators do not allow you to enter a logarithms with a base. So what you're going to need to do is use the change of base for the given logarithms in order to be able to enter it into a calculator. And what the change of base states is, if you have the logarithms of base B of a, you can rewrite this as a ratio of the lagoon rhythm of a over the lagoon rhythm of B. So here are a is going to be 501 and RB is going to be pi. So using the change of base on the given logarithms is going to give us the logarithms of 501 over the logarithms of pie. And now you can go ahead and enter this into a calculator and doing so and approximating to four decimal places should give you the approximate value of 5.4306. And this is going to be the answer to this problem. And that means that the solution to the overall problem is going to be C. So I hope this video helps you in understanding how to use the change of base property and I'll go ahead and see you all in the next video

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In Exercises 71–78, use common logarithms or natural logarithms and a calculator to evaluate to four decimal places.logπ 63

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