math help: How do I solve for the x in this equation? - Help.com

bluesilver8
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An Unknown Location

How do I solve for the x in this equation?

e^(5x + 4) = 7e^(4 - x)

I can’t figure it out for the life of me… but looking at it makes me think the method of getting the solution is fairly easy. Can someone help me out?

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Arkia Valkair offline Verified User (7 months, 3 weeks) Long Term User Shouts: 26 #
An Unknown Location | 3 months ago (11 minutes after post)

Well, the first step is to take the natural logarithm (ln) of both sides. This will get you…

5x + 4 = 4 - x + ln(7)

You should be able to figure it out from there. If you want you can find ln(7) on most calculators, but I suggest just leaving it as ln(7).

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gilraf offline Verified User (2 years, 4 months) Long Term User Shouts: 0 #
Bronx, NY, US | 3 months ago (20 minutes after post)

5x+4 = 4-x You need to make one side of the equation equal zero.
+x-4 So You Move everything to one side.
__________
6x=0 Solve for x.
x=0/6 or simply 0
___________

This is the actual answer sorry about the previous one.

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