SOLUTION: 2x-1=e^(lnx^2)

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Question 163296: 2x-1=e^(lnx^2)
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
First off, the right hand sides can be simplified,
e%5E%28ln%28x%5E2%29%29=x%5E2
2x-1=x%5E2
x%5E2-2x%2B1=0
%28x-1%29%5E2=0
x=1
Check the answer.
Left hand side:
2x-1=2%281%29-1=1
Right hand side:
x%5E2=1
ln%281%29=0
e%5E0=1
e%5E%28ln%28x%5E2%29%29=1
Left hand side = Right hand side.
Good answer.
x=1