SOLUTION: solve 2(ln(x))^2=3ln(x)-1 for x. give answers in exact form

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Question 624786: solve 2(ln(x))^2=3ln(x)-1 for x. give answers in exact form
Answer by lwsshak3(11628) About Me  (Show Source):
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solve 2(ln(x))^2=3ln(x)-1 for x. give answers in exact form
2(lnx)^2-3lnx+1=0
(2lnx-1)(lnx-1)=0
..
2lnx-1=0
lnx=1/2
x=e^(1/2)=√e
or
lnx-1=0
lnx=1
x=e