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Compute the value of the given logarithm.$$\log _{5} 20$$

$$1.86135$$

Algebra

Chapter 4

Exponential and Logarithmic Functions

Section 6

Properties of Logarithmic Functions

Missouri State University

McMaster University

Baylor University

Lectures

00:32

Find the value of each log…

01:45

Evaluate each logarithm. <…

00:57

Evaluate each logarithm.

00:50

01:10

01:23

Determine the value of the…

00:44

Express each logarithm in …

01:20

Evaluate the given quantit…

00:49

Use $\log _{5} 2 \approx 0…

00:30

Evaluate the logarithms ex…

02:07

Evaluate the logarithm at …

this problem. We're looking at Log base five of 20 and just like my my other thought process, I'm just kind of thinking out loud. I know my answer is going to be between one and two. I'm just thinking five to what power would give me 20? Well, five to the first powers of one five to the second power is 25 that's that's too big. Also, 20 doesn't break down as anything. So you have to use a calculator like four times five. But four is a base of to not five eso. It makes more sense than to realize that you have to use a change of based formula and you just do a log of 20. Divide by log of five or you do natural log. You can change it to any base you want eso as you look at that and you go to calculate you type it in. Make sure you use parentheses were necessary. And, uh, I got an answer of 1.861353116 But I liked around to three decimal places, so I would just write 1.861 you know, But if anybody wants more decimals there you have them. Okay,

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