SOLUTION: solve the exponential equation. express the solutions in terms of natural logarithms. then use calculator to obtain a decimal approximation for the solution. 4e^x=15

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Question 308728: solve the exponential equation. express the solutions in terms of natural logarithms. then use calculator to obtain a decimal approximation for the solution.
4e^x=15
Answer by rapaljer(4671) About Me  (Show Source):
You can put this solution on YOUR website!
4e%5Ex=15

Divide both sides by 4:
e%5Ex=15%2F4

Take the ln of each side to "undo" the "e^".
ln%28e%5Ex%29=ln%2815%2F4%29+
x=+ln%2815%2F4%29

Calculator approximation: 1.32175584 approximately.

Dr. Robert J. Rapalje, Retired
Seminole State College of Florida
Altamonte Springs Campus