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  • 25-04-2018
  • Mathematics
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mathmate
mathmate mathmate
  • 28-04-2018
Given: 5+8ln(x)=15.8

Solution:
first solve for ln(x)
ln(x)=(15.8-5)/8 = 1.35

Next, using the definition of log_e(x) (or ln(x), or simply log(x))
log_e(x)=y ≡ e^y = x

This means that
log_e(x) = 1.35 ≡ x=e^(y)=e^(1.35) = 3.8574

or
x=3.86  (to the nearest hundredth)
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