Question

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

OX=0.83
OX= 1.09
OX= 2.48
OX= 7.44

Answer 1

The solution is
`x = 0.83`

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 = (ln(12))/(3)`

Using a calculator:

`x = 0.83`

The solution is
`x = 0.83`