SOLUTION: How to solve for x in the equation xlnx = 0.032 + 4.14x

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Question 379955: How to solve for x in the equation
xlnx = 0.032 + 4.14x

Answer by richard1234(7193) About Me  (Show Source):
You can put this solution on YOUR website!
This equation cannot be solved using algebra, as the function mixes algebraic and transcendental functions. However, with the use of a calculator or a special algorithm called Newton's method, one can obtain x = 62.8348133...
The values for x can be approximated by graphing both functions, but using a calculator or Newton's method provides a more accurate approach.