Respuesta :

Add 4
.. 5e^(2x) = 15
Divide by 5
.. e^(2x) = 3
Take the natural log
.. 2x = ln(3)
Divide by 2
.. x = ln(3)/2 . . . . . . . . . corresponds to the 3rd selection

The solution of the equation will be x = (ln 3) / 2. Then the correct option is C.

What is the solution of the equation?

The solution of the equation means the value of the unknown or variable.

The equation is given below.

5e²ˣ – 4 = 11

On simplifying, we have

5e²ˣ = 15

 e²ˣ = 3

Taking log on both sides, then we have

2x ln e = ln3

We know ln e = 1, then we have

2x = ln 3

  x = (ln 3) / 2

Then the correct option is C.

More about the solution of the equation link is given below.

https://brainly.com/question/545403

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