SOLUTION: Solve e^x = 3 - 2e^-x I have a problem regarding natural logs since they're a little different form the base 10 logs Thanks

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Question 350781: Solve
e^x = 3 - 2e^-x
I have a problem regarding natural logs since they're a little different form the base 10 logs
Thanks
Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!




Put everything into the LHS:



Multiply both sides by



Let and substitute:



Factor and solve for





Verification of the last step results left as an exercise for the student.

Substitute



Take the natural log of both sides:



Use and



Use the same process to finish determining the other root, remembering that

John

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