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Use $\log 2=0.3010$ and $\log 5=0.6990$ and the properties of logarithms to compute the given logarithm, do not use a calculator.$$\log 4$$

$$0.6020$$

Algebra

Chapter 4

Exponential and Logarithmic Functions

Section 6

Properties of Logarithmic Functions

Missouri State University

Baylor University

Idaho State University

Lectures

01:24

Use $\log 2=0.3010$ and $\…

01:01

02:14

02:21

01:36

01:21

01:45

Express each logarithm in …

02:13

Use the properties of loga…

00:27

Assume that $\log 4 \appro…

00:32

Write logarithm as a sum. …

01:04

00:20

Rewrite the logarithm equa…

Okay, So in the directions they tell you log of to is equal to the zero point 3010 and they're gonna ask you they give you more directions. But we actually only need that one. They're asking you to figure out what's log for eso when we look at low before that's this is the one I'm examining closely that's equal to log of two squared. I hope you would agree that two squared is equal to four eso from here you might be asking. Well, why on earth would you do? This is I'm trying to get this to be a log of two because we can replace log of two with 20.301 And the reason why we can now almost replace it is the law of logs tells us we can move this to in front. So our answer is two times log of to. And now you can use substitution because I'm gonna leave that too alone. But I'm gonna replace this log of to with that 0.3010 If you double that answer, there's no need for a calculator. That answer will be 0.6020 You're correct. Answer

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