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Compute the value of the given logarithm.$$\log _{1 / 3} 6$$

$$-1.63093$$

Algebra

Chapter 4

Exponential and Logarithmic Functions

Section 6

Properties of Logarithmic Functions

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University of Michigan - Ann Arbor

Lectures

00:32

Find the value of each log…

01:00

Evaluate each logarithm.

00:18

Solve logarithmic equation…

00:14

Evaluate each logarithm us…

00:36

01:17

Write the expression as th…

00:13

01:07

Find the exact value of th…

Write in logarithmic form.…

Yeah, this problem requires that you know how to use your calculator. Um, is it neither of these numbers share the same base like you, could you? What I'm talking about is an exponential form is three to the name. Your first power equals one third, but six is two times three, so there's no common base. So it's kind of like just scratch work to prove why you need a calculator and the change of based formula. So it's up to you if you want to do the change based formula using Log Base 10, then log of one third. It does not matter if you do that, or if you use the natural log button in your couch later, you'll get the same answer regardless, Um, eso as I go to my calcula and type that in. By the way, I would do natural log. Just I don't know why. It's the most recent thing I wrote down. I guess, uh is negative 1.6309 to 9. I'll stop it eight. But I liked around the three decimal places, so I would actually write out Nate 1.631 as my answer. But some teachers like more decimals, so there you go

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