use property of logariths to completely expand: (posting equation)

- Anikate

use property of logariths to completely expand: (posting equation)

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- Anikate

\[\ln ((x^18 \]

- Anikate

ignor that

- Anikate

|dw:1434341420293:dw|

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## More answers

- Anikate

and yes

- mathstudent55

Here are the log rules you need:
|dw:1434341768384:dw|

- Anikate

yea its cool, I can sorta see what hes doing, equation maker would help though.

- Anikate

but the equation is in LN...... those equations are in log

- UsukiDoll

\[\ln \frac{x^{18}(y+3)^7}{z}\]

- UsukiDoll

ln and log mean the same thing

- mathstudent55

Use the first 2 rules to take care of the fraction.
Then use the third rule to deal with the exponents.

- Anikate

oh ok

- mathstudent55

When you see the log of a product, separate it into the sum of logs.
When you see the log of a division, separate it into a subtraction of logs.

- UsukiDoll

we could split this problem into parts and then combine them all together...

- mathstudent55

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- Anikate

how am i supposed to put all those equations together to get the answer?

- UsukiDoll

take it one step at a time using the log rules.

- mathstudent55

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- mathstudent55

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- Anikate

thanks @HWBUSTER00 i feel like I have more questions than mathway can tell me lol thanks for ur help though :)

- Anikate

@mathstudent55 you cant expand it more?

- UsukiDoll

I think we still can for the first part... it's a combination of the exponential log rule and the addition rule

- Anikate

yea... how though? wouldnt we have to use brackets?

- UsukiDoll

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- UsukiDoll

it's a combination of the first and third log rule.. .

- UsukiDoll

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- UsukiDoll

so I KNOW! We use the first log rule and then the third log rule

- mathstudent55

The first step was using the log of a fraction.
Now we use the log of a product on the first log.

- UsukiDoll

use the first log rule he gave out...

- mathstudent55

|dw:1434342473232:dw|

- UsukiDoll

YES ^ and then use the exponential log rule

- mathstudent55

That expanded the first log, which was the log of a product.

- Anikate

can u expand lnx^18?

- mathstudent55

Now you need to use the log of a power, the third rule above.

- mathstudent55

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- Anikate

OH I GOT IT! I understand now! thanks!

- mathstudent55

That is the final answer.

- Anikate

reviewing for final, and the its all starting to come back to me

- mathstudent55

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- mathstudent55

Great. Good luck.

- UsukiDoll

for log rules.. anything to do with a + sign it's multiplication
anything to do with a - sign it's division
anything to do with an exponent goes on the left side of the log. :)

- Anikate

gotcha! thanks usuki!

- UsukiDoll

I'm on a roll to answering a lot of questions today ^_^ I got 606 medals xD

- UsukiDoll

well that's over a course of almost 3 years

- Anikate

damn...... nice!

- UsukiDoll

thank you :'D

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