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Question
Solve for x to the nearest thousandth:
(e^2x)-(6e^x)+5=0
Hi Jonny,
You want to write this as a quadratic:
e^2x - 6e^x + 5 = 0
(e^x)^2 - 6e^x + 5 = 0
Fortunately, this will factor:
(e^x - 5)(e^x - 1) = 0
So, e^x = 5 and x = ln 5 = 1.609
or e^x = 1 and x = 0
If you do another of these, and you can't get it to factor,
then just use the quadratic formula to solve for e^x.
Hope this helps out.
Steve Holleran
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Answers by Expert:
Steve Holleran
Expertise
I can help with all math questions from basic math to Calculus. Whether it`s consumer questions, or questions from high school or college students, I have probably dealt with it at some time in my career.
Experience
33 years teaching experience in NJ public schools
Education/Credentials
B.S. Mathematics : Wake Forest University 1972
M.S. Mathematics : Monmouth University 1981
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