How do you solve 3000/(2+e^(2x))=2?

1 Answer
Jan 14, 2017

The answer is x=1/2 ln(1498)=ln(sqrt(1498))approx 3.65594

Explanation:

First, multiply both sides by 2+e^(2x) and divide both sides by 2 to get 2+e^(2x)=1500. Subtracting 2 from both sides leads to e^(2x)=1498. Now take the natural logarithm of both sides and then divide both sides by 2 to get the final answer:

x=1/2 ln(1498)=ln(sqrt(1498))approx 3.65594.