Answer:
The solution is [tex]x = 0.83[/tex]
Step-by-step explanation:
We are given the following equation:
[tex]e^{3x} = 12[/tex]
To isolate x, we apply ln, which is the inverse of the exponential. So
[tex]\ln{e^{3x}} = \ln{12}[/tex]
[tex]3x = \ln{12}[/tex]
[tex]x = \frac{\ln{12}}{3}[/tex]
Using a calculator:
[tex]x = 0.83[/tex]
The solution is [tex]x = 0.83[/tex]