SOLUTION: Lnx+ln9x-2=1

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Question 76240This question is from textbook ALGEBRA 2
: Lnx+ln9x-2=1 This question is from textbook ALGEBRA 2

Answer by psbhowmick(878) About Me  (Show Source):
You can put this solution on YOUR website!
ln%28x%29%2Bln%289x-2%29+=+1
ln%28x%289x-2%29%29+=+ln%28e%29

So, x%289x+-+2%29+=+e
or 9x%5E2+-+2x+-+e+=+0
or x+=+%28-%28-2%29+%2B-+sqrt%28+%28-2%29%5E2-4%2A9%2A%28-e%29+%29%29%2F%282%2A9%29+
or x+=+%282+%2B-+sqrt%28+4%2B36e%29+%29%2F18+
or x+=+%282+%2B-+10.092+%29%2F18+

Ans: x = 0.67177, -0.44955