Question

What is the solution to the equation below? Round your answer to two decimal places.

4e^2x + 16 = 36
A. X = 3.22
B. x = 0.80
C. x = 1.61
D. x = 1.39​

Answer 1

9514 1404 393

Answer:

B. x = 0.80

Explanation:

We suspect you want the solution to the exponential equation ...

4e^(2x) +16 = 36

e^(2x) +4 = 9 . . . . . . . . . . . divide by 4 (because we can)

e^(2x) = 5 . . . . . . . . . . . . . . subtract 4

2x = ln(5) . . . . . . . . . . . . . . . take natural logs

x = ln(5)/2 ≈ 0.804719 . . . . .divide by the coefficient of x

x ≈ 0.80