SOLUTION: ln5-lnx=3 I tried: ln(5-x)=3

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Question 410935: ln5-lnx=3
I tried:
ln(5-x)=3
Found 3 solutions by josmiceli, stanbon, richard1234:
Answer by josmiceli(19441) About Me  (Show Source):
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
ln5-lnx=3
---
ln(5/x) = 3
----
5/x = e^3
---
x/5 = e^-3
x = 5*e^(-3)
----
x = 0.2489
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Cheers,
Stan H.
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Answer by richard1234(7193) About Me  (Show Source):
You can put this solution on YOUR website!
Not quite. Use ln%28a%29+-+ln%28b%29+=+ln%28a%2Fb%29, so

ln%285%29+-+ln%28x%29+=+ln%285%2Fx%29+=+3

Raise each side to the base e, i.e.

5%2Fx+=+e%5E3

xe%5E3+=+5 (cross-multiplying)

x+=+5%2F%28e%5E3%29