SOLUTION: Can you show me how to solve e^(5ln3 - 4ln5) using the properties of logarithms? The answer is 243/625, but I want to know step by step how to get there? Thank you!

Question 917571: Can you show me how to solve e^(5ln3 - 4ln5) using the properties of logarithms? The answer is 243/625, but I want to know step by step how to get there? Thank you!
Found 2 solutions by Hawksfan, MathTherapy:
Answer by Hawksfan(61) (Show Source): You can put this solution on YOUR website!
e^(5ln3 - 4ln5)

Properties:
1) e^(lnx) = x
2) ln(x-y) = ln[x/y]
3) alnb = lnb^a

by #3 e^(ln3^5 - ln5^4)
simplify e^(ln 143 -ln625)
by rule #2 above e^(ln143/625)
by rule #1 above 143/625 because the e cancels the ln
answer is 143/625
e
Answer by MathTherapy(10552) (Show Source): You can put this solution on YOUR website!

Can you show me how to solve e^(5ln3 - 4ln5) using the properties of logarithms? The answer is 243/625, but I want to know step by step how to get there? Thank you!

Let
Then
Therefore,
RELATED QUESTIONS
I have to solve the equation, using properties of logarithms. ln x- ln(x-1)= 2... (answered by ewatrrr,solver91311)
how do I solve this Ln(e^19x^20) use to the properties of logarithms to... (answered by MathLover1)
I want to know the answer to the problem of 8u=3u+35, can you show me (answered by sdmmadam@yahoo.com)
Hi, Could someone please show me how to work through this problem? I don't know the steps (answered by nerdybill)
I need to know how to solve a problem. I no the answer but i dont no how to expain. the... (answered by jim_thompson5910)
Im not sure how to write the expression as the logarithm of a single quantity...... (answered by longjonsilver,rapaljer)
The sum of two numbers is 47 and their difference between the numbers is 1. Find the... (answered by Edwin McCravy)
I have been trying to solve this problem for a while. So can you please try and help me... (answered by jim_thompson5910)
51 = 400e^(−0.6x) I want to know how to solve for x using logarithms. Thank you... (answered by lwsshak3)