Solve for x over the real numbers:
100 = 1065.8 e^(0.084 x)
1065.8 e^(0.084 x) = 5329/5 e^(21 x/250):
100 = 5329/5 e^((21 x)/250)
100 = 5329/5 e^((21 x)/250) is equivalent to 5329/5 e^((21 x)/250) = 100:
5329/5 e^((21 x)/250) = 100
Multiply both sides by 5/5329:
e^((21 x)/250) = 500/5329
Take the natural logarithm of both sides:
(21 x)/250 = -log(5329/500)
Multiply both sides by 250/21:
Answer: |x = -250/21 log(5329/500) = = -28.170366474697502...........
