SOLUTION: Hi, I've been having trouble with logarithms, i tried to solve the problem below but i'm not sure if it's correct. ln3x-ln15=2 How i tried to solve: ln3x-ln15=2 ln3x div

Algebra ->  Exponential-and-logarithmic-functions -> SOLUTION: Hi, I've been having trouble with logarithms, i tried to solve the problem below but i'm not sure if it's correct. ln3x-ln15=2 How i tried to solve: ln3x-ln15=2 ln3x div      Log On


   



Question 590108: Hi, I've been having trouble with logarithms, i tried to solve the problem below but i'm not sure if it's correct.
ln3x-ln15=2
How i tried to solve:
ln3x-ln15=2
ln3x divided by ln 15 = 2
then i crossed out ln with e
divided the 15 & 3 =5x
and i got x=2 over 5 e
Hopefully, that made sense.

Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
ln3x-ln15=2
How i tried to solve:
ln3x-ln15=2
ln3x divided by ln 15 = 2
It says minus, you can't change it to divide.
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ln3x-ln15=2
Logs are exponents. Subtracting exponents --> dividing the arguments.
--> ln(3x/15) = 2
ln(x/5) = 2
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The base of ln's, natural logs, is e.
e%5E%28ln%28x%2F5%29%29+=+e%5E2
x%2F5+=+e%5E2
x+=+5%2Ae%5E2
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then i crossed out ln with e
divided the 15 & 3 =5x
and i got x=2 over 5 e