## Anikate one year ago use property of logariths to completely expand: (posting equation)

1. Anikate

$\ln ((x^18$

2. Anikate

ignor that

3. Anikate

|dw:1434341420293:dw|

4. Anikate

and yes

5. mathstudent55

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

6. Anikate

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

7. Anikate

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

8. UsukiDoll

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

9. UsukiDoll

ln and log mean the same thing

10. mathstudent55

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

11. Anikate

oh ok

12. 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.

13. UsukiDoll

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

14. mathstudent55

|dw:1434342091696:dw|

15. Anikate

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

16. UsukiDoll

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

17. mathstudent55

|dw:1434342139208:dw|

18. mathstudent55

|dw:1434342185238:dw|

19. Anikate

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

20. Anikate

@mathstudent55 you cant expand it more?

21. UsukiDoll

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

22. Anikate

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

23. UsukiDoll

|dw:1434342343219:dw|

24. UsukiDoll

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

25. UsukiDoll

|dw:1434342367152:dw|

26. UsukiDoll

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

27. mathstudent55

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

28. UsukiDoll

use the first log rule he gave out...

29. mathstudent55

|dw:1434342473232:dw|

30. UsukiDoll

YES ^ and then use the exponential log rule

31. mathstudent55

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

32. Anikate

can u expand lnx^18?

33. mathstudent55

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

34. mathstudent55

|dw:1434342571914:dw|

35. Anikate

OH I GOT IT! I understand now! thanks!

36. mathstudent55

37. Anikate

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

38. mathstudent55

|dw:1434342686828:dw|

39. mathstudent55

Great. Good luck.

40. 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. :)

41. Anikate

gotcha! thanks usuki!

42. UsukiDoll

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

43. UsukiDoll

well that's over a course of almost 3 years

44. Anikate

damn...... nice!

45. UsukiDoll

thank you :'D