Anikate
  • Anikate
use property of logariths to completely expand: (posting equation)
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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schrodinger
  • schrodinger
I got my questions answered at brainly.com in under 10 minutes. Go to brainly.com now for free help!
Anikate
  • Anikate
\[\ln ((x^18 \]
Anikate
  • Anikate
ignor that
Anikate
  • Anikate
|dw:1434341420293:dw|

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Anikate
  • Anikate
and yes
mathstudent55
  • mathstudent55
Here are the log rules you need: |dw:1434341768384:dw|
Anikate
  • Anikate
yea its cool, I can sorta see what hes doing, equation maker would help though.
Anikate
  • Anikate
but the equation is in LN...... those equations are in log
UsukiDoll
  • UsukiDoll
\[\ln \frac{x^{18}(y+3)^7}{z}\]
UsukiDoll
  • UsukiDoll
ln and log mean the same thing
mathstudent55
  • mathstudent55
Use the first 2 rules to take care of the fraction. Then use the third rule to deal with the exponents.
Anikate
  • Anikate
oh ok
mathstudent55
  • 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
  • UsukiDoll
we could split this problem into parts and then combine them all together...
mathstudent55
  • mathstudent55
|dw:1434342091696:dw|
Anikate
  • Anikate
how am i supposed to put all those equations together to get the answer?
UsukiDoll
  • UsukiDoll
take it one step at a time using the log rules.
mathstudent55
  • mathstudent55
|dw:1434342139208:dw|
mathstudent55
  • mathstudent55
|dw:1434342185238:dw|
Anikate
  • Anikate
thanks @HWBUSTER00 i feel like I have more questions than mathway can tell me lol thanks for ur help though :)
Anikate
  • Anikate
@mathstudent55 you cant expand it more?
UsukiDoll
  • UsukiDoll
I think we still can for the first part... it's a combination of the exponential log rule and the addition rule
Anikate
  • Anikate
yea... how though? wouldnt we have to use brackets?
UsukiDoll
  • UsukiDoll
|dw:1434342343219:dw|
UsukiDoll
  • UsukiDoll
it's a combination of the first and third log rule.. .
UsukiDoll
  • UsukiDoll
|dw:1434342367152:dw|
UsukiDoll
  • UsukiDoll
so I KNOW! We use the first log rule and then the third log rule
mathstudent55
  • mathstudent55
The first step was using the log of a fraction. Now we use the log of a product on the first log.
UsukiDoll
  • UsukiDoll
use the first log rule he gave out...
mathstudent55
  • mathstudent55
|dw:1434342473232:dw|
UsukiDoll
  • UsukiDoll
YES ^ and then use the exponential log rule
mathstudent55
  • mathstudent55
That expanded the first log, which was the log of a product.
Anikate
  • Anikate
can u expand lnx^18?
mathstudent55
  • mathstudent55
Now you need to use the log of a power, the third rule above.
mathstudent55
  • mathstudent55
|dw:1434342571914:dw|
Anikate
  • Anikate
OH I GOT IT! I understand now! thanks!
mathstudent55
  • mathstudent55
That is the final answer.
Anikate
  • Anikate
reviewing for final, and the its all starting to come back to me
mathstudent55
  • mathstudent55
|dw:1434342686828:dw|
mathstudent55
  • mathstudent55
Great. Good luck.
UsukiDoll
  • 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
  • Anikate
gotcha! thanks usuki!
UsukiDoll
  • UsukiDoll
I'm on a roll to answering a lot of questions today ^_^ I got 606 medals xD
UsukiDoll
  • UsukiDoll
well that's over a course of almost 3 years
Anikate
  • Anikate
damn...... nice!
UsukiDoll
  • UsukiDoll
thank you :'D

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