Solve the equation below for x.

500 = 25e ^ (2x)

x = i π n + log (20) / 2 for n element Z

Step-by-step explanation:

Solve for x:

500 = 25 e^ (2 x)

500 = 25 e^ (2 x) is equivalent to 25 e^ (2 x) = 500:

25 e^ (2 x) = 500

Divide both sides by 25:

e^ (2 x) = 20

Take the natural logarithm of both sides:

2 x = 2 i π n + log (20) for n element Z

Divide both sides by 2:

Answer: x = i π n + log (20) / 2 for n element Z