SOLUTION: Solve the equation ln(1+x^2)=1+2lnx giving your answer correct to 3 significant figures

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Question 737740: Solve the equation
ln(1+x^2)=1+2lnx
giving your answer correct to 3 significant figures
Answer by Susan-math(40) About Me  (Show Source):
You can put this solution on YOUR website!
ln%281%2Bx%5E2%29=1%2B2lnx
convert 1 to ln%28e%5E1%29=lne and 2lnx=ln%28x%5E2%29
so we have:
ln%281%2Bx%5E2%29=lne%2Bln%28x%5E2%29=ln%28ex%5E2%29
so 1%2Bx%5E2=ex%5E2
1=ex%5E2-x%5E2=x%5E2%28e-1%29
x%5E2=+1%2F%28e-1%29
x=1%2F%28sqrt%28e-1%29%29=0.76287=0.763