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Compute the value of the given logarithm.$$\log _{3} 7$$

$$1.77124$$

Algebra

Chapter 4

Exponential and Logarithmic Functions

Section 6

Properties of Logarithmic Functions

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Lectures

00:54

Evaluate the logarithm usi…

01:47

Given that log 3 = 0.4771 …

00:18

Evaluate the logarithm wit…

00:37

evaluate the logarithm usi…

01:00

Write the given expression…

00:52

Determine the value of the…

00:42

Express each logarithm in …

00:20

00:22

Evaluate expression.$\…

Here's another problem where you need the change of based formula log based three of seven. Um, now I do want to point out that you can see what answers makes sense because, like Log based three of three and log base three of 97 is between three and nine, and this one is very straightforward. That log, based three of three well, three to the first power equals three and three squared equals nine. So this answer is equal to two. So an answer for this middle piece that we're trying to solve must be between those two. Anyway, the change of based formula you can either do log of seven divided by log of three. Or you could do natural log of seven divided by natural log of three. You can change these problems toe any base you want. So as you go to a calculator, E should put putting an equal here because of High road is kind of weird. Anyway, naturally, go seven divided by natural log of three type that in and got exactly one point Well, approximately, I should say 1.771 which is confirmed by being bigger than one but smaller than to, um, and I like to round to three decimal places. Your teacher might ask for more, but type it in. You'll see you'll get an answer like that.

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