SOLUTION: -1 + 2ln(x-2) = ln(x)

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Question 982391: -1 + 2ln(x-2) = ln(x)
Answer by Edwin McCravy(20060) About Me  (Show Source):
You can put this solution on YOUR website!
Notice that I've changed the numbers, so you'll have to go
through it, using this as a model.  Yours is done EXACTLY 
the same way:

-3+%2B+2%2Aln%28x-3%29+=+ln%28x%29

-3+%2B+2%2Aln%28x-3%29+=+ln%28x%29

2%2Aln%28x-3%29-ln%28x%29+=+3

ln%28x-3%29%5E2-ln%28x%29+=+3

ln%28%28x-3%29%5E2%2Fx%29=e

%28x-3%29%5E2%2Fx=e%5E3

%28x-3%29%5E2=e%5E3%2Ax

x%5E2-6x%2B9=e%5E3%2Ax

x%5E2-6x%2B9-e%5E3%2Ax=0

x%5E2-6x-e%5E3%2Ax%2B9=0

x%5E2-x%286%2Be%5E3%29%2B9=0

x%5E2-%286%2Be%5E3%29x%2B9=0

a=1, b=-%286%2Be%5E3%29, c=9%29

x+=+%28-b+%2B-+sqrt%28+b%5E2-4ac+%29%29%2F%282a%29+




x+=+%28%286%2Be%5E3%29+%2B-+sqrt%28%286%2Be%5E3%29%5E2-36+%29%29%2F2+

x+=+%286%2Be%5E3+%2B-+sqrt%28%2836%2B12e%5E3%2Be%5E6%29-36+%29%29%2F2+

x+=+%286%2Be%5E3+%2B-+sqrt%2836%2B12e%5E3%2Be%5E6-36+%29%29%2F2+

x+=+%286%2Be%5E3+%2B-+sqrt%2812e%5E3%2Be%5E6+%29%29%2F2+

x+=+%286%2Be%5E3+%2B-+sqrt%28e%5E3%2812%2Be%5E3%29%29%29%2F2

Using the +, that's approximately 25.7358
Using the -, that's approximately 0.3497

However since there is ln(x-2) in the original equation, the
value of x-2 must be positive, or x > 2, so we may not use 
the minus sign.

Solution:
x = (6+e^3+sqrt(e^3(12+e^3)))}}}

Now use the above as a model and do your problem.

Edwin