Use natural logarithms to solve the equation. Round to the nearest thousandth.

3e^2x+2=28

A. 1.0797

B. 0.4689

C. 0.9261

D. 2.1595

A. 1.0797

Step-by-step explanation:

Given the equation,

3e^2x+2=28

To solve for x, first we move 2 to the other side of the equation.

3e^2x = 28-2

3e^2x = 26

Dividing both sides by 3

e^2x = 26/3

e^2x = 8.67

Taking the natural logarithm if both sides

ln (e^2x) = ln8.67

2x = ln8.667

2x = 2.1595

x = 2.1595/2

x = 1.0797