Question

What is the solution to the equation e^3x - 127 Round your answer to the nearest hundredth.

Answer 1

Answer:

The solution is $x = 0.83$

Step-by-step explanation:

We are given the following equation:

$e^{3x} = 12$

To isolate x, we apply ln, which is the inverse of the exponential. So

$\ln{e^{3x}} = \ln{12}$

$3x = \ln{12}$

$x = \frac{\ln{12}}{3}$

Using a calculator:

$x = 0.83$

The solution is $x = 0.83$