SOLUTION: can you please solve for x. 2ln(x-5)=3.65

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Question 220602: can you please solve for x.
2ln(x-5)=3.65

Answer by Theo(13342) About Me  (Show Source):
You can put this solution on YOUR website!
2*ln(x-5) = 3.65
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your equation is:
2*ln(x-5) = 3.65
divide both sides of this equation by 2 to get:
ln(x-5) = 1.825
by the basic laws of logarithms, this can happen if and only if:
e^1.825 = (x-5)
e^1.825 = 6.202795019 (use your calculator to get this)
this means that:
6.202795019 = x-5
add 5 to both sides of this equation to get:
x = 11.202795019
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the basic law of logarithms states:
log%28b%2Cx%29+=+y if and only if y+=+b%5Ex
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with natural logarithms, the base is e
your x was actually (x-5)
your y was 3.65 / 2 = 1.825
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