Help solving log (natural number) equation

Thread starter Muskox
Start date Mar 17, 2006
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Log

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To solve the equation 2lnX = 2 + ln(X-1), the first step involves raising both sides by e to eliminate the logarithm. This leads to the equation X^2/(X-1) = e^2. By rearranging, it simplifies to X^2 = e^2(X-1), resulting in the quadratic equation X^2 - e^2X + e^2 = 0. The next steps involve applying the quadratic formula to find the values of X. This method provides a clear path to the solution of the logarithmic equation.

Mar 17, 2006

Muskox

I am stuck on finding the solution to this problem.

2lnX = 2 + ln(X-1)

Please show all steps for the solution.

Thank you.

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Mar 17, 2006

chroot

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Try raising both sides by e. Use algebra to simplify.

- Warren

Mar 17, 2006

Muskox

I get this far.
X^2/X-1 = e^2
X^2 = e^2(X-1)
x^2 = e^2 X - e^2

Mar 17, 2006

Integral

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You now have a quadraic equation in x. Remember e² is just a number.

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