SOLUTION: Please help!! I have tried this problem to no end. It is a tqake home homework, not out of a text book. Thanks, Laura solve the given equation: (e^3)x^*e^x^2=e^10

Question 78794: Please help!! I have tried this problem to no end. It is a tqake home homework, not out of a text book. Thanks, Laura
solve the given equation: (e^3)x^*e^x^2=e^10
Answer by mathdoc314(58) (Show Source): You can put this solution on YOUR website!

This will turn out pretty easy or else impossible if you take the natural logarithm of both sides and then do something about the x^e and then solve with algebra.
The logarithm rules are:
1.
2.
3.
Use rule 1 first:

Use rule 2 and 3:

I don't think there is a way to solve this algebraically. A person can find numbers for x that work very closely, using graphical or numerical methods and tools. I am sorry that I do not have a name for this type of equation.

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