SOLUTION: 123=500e^-0.12x

Algebra.Com
Question 569464: 123=500e^-0.12x
Answer by ankor@dixie-net.com(22740)   (Show Source): You can put this solution on YOUR website!
Assume the problem is:

rewrite it
= 123
divide both sides by 500
=
= .246
:
Using nat logs
= ln(.246)
:
the log equiv of exponents
-.12x*ln(e) = ln(.246)
;
find of both sides, the nat log of e is 1
-.12x = -1.4024
;
x =
x = +11.6869
:
:
We can check this on a good calc: enter 500*e^(-.12*11.6869). results 122.999 ~ 123

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