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Write the given expression as a sum of logarithms.$$\ln x^{5} \sqrt[4]{y^{3}}$$

$$5 \ln x+3 / 4 \ln y$$

Algebra

Chapter 4

Exponential and Logarithmic Functions

Section 6

Properties of Logarithmic Functions

Campbell University

Harvey Mudd College

Baylor University

Idaho State University

Lectures

01:45

Write the given expression…

01:06

01:50

01:15

01:08

Write the expression as th…

01:13

Use the Laws of Logarithms…

01:03

03:07

01:16

Write each expression as a…

00:57

01:52

Expanding Logarithmic Expr…

00:26

In Exercises 101–106, writ…

02:21

write the expression as on…

Yeah. Okay. This is another one where it's a lot of algebra manipulation and why they make you take elsewhere to before peacock and calculus that they expect you to known and natural log of extra the 5th, 4th root of y cube. That you can rewrite that as multiplication as why To the three force power, Uh, the index is the denominator and the exponents, the numerator. So now you can apply the law of logs that multiplication can be split with addition. And then the law of logs tells you that that exploded that you have can get moved in front, and the order does matter. You have to do it this way. So are correct. Answer is five natural law Globex plus three fours. Natural log of y. And that's right. So that circle that move on. Yeah.

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