Can ln(u)=u Be Solved for x Algebraically?

Thread starter danielatha4
Start date Sep 16, 2010

AI Thread Summary

The equation ln(u) = u, where u is a function of x, cannot be solved for x algebraically. This conclusion is based on the nature of logarithmic and exponential functions. While numerical methods or graphical solutions may provide approximate values, an exact algebraic solution is not feasible. The discussion emphasizes the complexity of the relationship between logarithmic and linear functions. Therefore, algebraic manipulation does not yield a solution for x in this case.

Sep 16, 2010

danielatha4

Homework Statement

Can this equation be solved for x? This isn't any type of homework. I'm doing this for fun. This equation came from an integration while solving a differential equation.

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Sep 17, 2010

Mentallic

Homework Helper

I'm afraid not. In general, ln(u)=u where u is a function of x cannot be solved for x algebraically.

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