How do you solve 14e^(3x+2)=560?

1 Answer
Alan P.
Dec 7, 2015

x= (ln40-2)/3

Explanation:

If
color(white)("XXX")14e^(3x+2) = 560
then (after dividing both sides by 14)
color(white)("XXX")e^(3x+2) = 40

By taking the natural logarithm of both sides:
color(white)("XXX")3x+2 = ln40

color(white)("XXX")3x = ln40-2

color(white)("XXX")x = (ln(40)-2)/3

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