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: