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Write the given expression as a sum of logarithms.$$\log \left(x y^{2}\right)$$

$$\log x+2 \log y$$

Algebra

Chapter 4

Exponential and Logarithmic Functions

Section 6

Properties of Logarithmic Functions

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Lectures

01:43

Write the given expression…

01:15

00:51

Write logarithmic expressi…

01:50

00:57

Write the expression using…

00:20

Write logarithm as a sum. …

00:34

Express as a sum of logari…

00:29

Write the expression as th…

00:14

Write each logarithm as a …

01:25

03:48

Express as a sum or a diff…

Write logarithm as the sum…

in this problem we have logged of X y squared and the fast way of starting this problem is examining that we have a multiplication in here. So any time you have a multiplication, you can split up the logs as two separate logs with addition, log of y squared. Now, another rule within logs. I'll just write it down right here as any base. It doesn't have to be based 10 like it is in this problem, although this is an implied base. That's why I don't write it of I'll just say of I don't know em to the end power. What you can do is you can rewrite this as end times log base be of M. I just like to think of this end gets moved in front. So as I go back to my original problem, I can't do anything with a lot of ex. That was good, But this too. I could move in front so it becomes too long of why. And this is your final answer. And if you want, you can write in base 10. But that's extra work. We're good here. Yeah,

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