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Compute the value of the given logarithm.$$\log _{2} 12$$

$$3.58496$$

Algebra

Chapter 4

Exponential and Logarithmic Functions

Section 6

Properties of Logarithmic Functions

Campbell University

Oregon State University

Harvey Mudd College

Lectures

01:20

Compute the value of the g…

00:25

Evaluate the logarithm wit…

00:55

Determine the value of the…

00:37

Find the value of each log…

00:47

Evaluate the logarithms ex…

01:38

Evaluate each logarithm. <…

01:10

Evaluate each logarithm.

00:09

Determine the value of eac…

01:16

Find the exact value of th…

All right, So we are doing log based two of 12. And the underlying way of doing this problem is either doing the change of based formula. Yeah, which would be either log of 12 divided by log of two, or your other option is to type in natural log of 12. Divided by natural log of to It doesn't matter which one you use. Both will work. But you do need to go to a calculator to type this in. Um, and the reason why you need a calculator in case anybody is curious, is you can't change 12 toe on Lee. Be a base of two. Um, you know, you could try, but the best you could come up with is that 12 is equal to two squared times three. Um, So the whole point I'm trying to get at is is that you have to use a calculator. You have to use one of these things. So I'm going to do, um, natural log. Just because I wrote it most recently, I guess. Yeah. And as you type this thing in, you'll get an answer of exactly 3.585 I like rounding to three decimals. So that answers what I would write down

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