SOLUTION: Can anyone help me with this problem? The equation e^{2x} - 7e^{x} +10 = 0 has two solutions. One larger solution, and smaller solution.

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Question 220510: Can anyone help me with this problem?
The equation e^{2x} - 7e^{x} +10 = 0 has two solutions.
One larger solution, and smaller solution.
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
Hint: Rewrite e%5E%282x%29 as %28e%5Ex%29%5E2 and let z=e%5Ex. Now replace each e%5Ex with 'z' to get z%5E2-7z%2B10=0. From here, solve for 'z' and use the equation z=e%5Ex to find the solutions in terms of 'x'.