Question

In Exercise, solve the equation.
10e2x+1 = 900

Answer 1

Explanation:

Background info: If e^x = b, then x = ln b.

The given 10e2x+1 = 900 can be simplified by dividing both sides by 10:

e^(2x+1) = 90

Taking the natural log of both sides (using the property given above), we get:

2x + 1 = ln 90

Solving for 2x:

2x = ln 90 - 1

Solving for x:

ln 90 - 1

x = ----------------

2