Help solving log (natural number) equation

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Homework Help Overview

The original poster attempts to solve the equation involving natural logarithms: 2lnX = 2 + ln(X-1). The problem falls under the subject area of logarithmic equations.

Discussion Character

  • Exploratory, Mathematical reasoning

Approaches and Questions Raised

  • Some participants suggest manipulating the equation by raising both sides to the power of e and simplifying. Others note the transformation into a quadratic equation and emphasize the nature of e as a constant.

Discussion Status

The discussion is ongoing, with participants providing guidance on algebraic manipulation and recognizing the form of the resulting equation. There is no explicit consensus yet, but various interpretations and approaches are being explored.

Contextual Notes

The original poster has requested to see all steps for the solution, indicating a focus on understanding the process rather than just the outcome.

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

- Warren
 
I get this far.
X^2/X-1 = e^2
X^2 = e^2(X-1)
x^2 = e^2 X - e^2
 
You now have a quadraic equation in x. Remember e2 is just a number.
 

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