How to Solve Ln(x) + x=y for x

  • Context: Undergrad 
  • Thread starter Thread starter Dinesh
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SUMMARY

The equation Ln(x) + x = y does not yield a closed form expression for x in terms of y. This conclusion is based on the inherent properties of the natural logarithm and the linear term in the equation. Instead, numerical methods or graphical solutions are required to approximate the value of x for given values of y. Tools such as numerical solvers or graphing calculators are essential for finding solutions.

PREREQUISITES
  • Understanding of natural logarithms and their properties
  • Familiarity with algebraic manipulation
  • Knowledge of numerical methods for solving equations
  • Experience with graphing tools or software
NEXT STEPS
  • Explore numerical methods such as Newton-Raphson for root finding
  • Learn to use graphing calculators or software like Desmos for visual solutions
  • Study the Lambert W function for related transcendental equations
  • Investigate approximation techniques for solving non-linear equations
USEFUL FOR

Mathematicians, students studying calculus or algebra, and anyone interested in solving transcendental equations.

Dinesh
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How to solve it for x
Ln(x) +x=y
 
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You can't get a closed form expression for x in terms of y
 

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