Question

What is the solution to the equation e3x=12? Round your answer to the nearest hundredth

Answer 1

Answer:

x=0.83

Step-by-step explanation:

Answer 2

Answer:

$x = 4ln(12) = 9.94$

Step-by-step explanation:

We need to find the solution to the following equation: $e^{3x} = 12$. Given that the the natural logarithm is the inverse function of the exponential, we have that: $ln(e^{x}) = x$.

Applying this rule:

$ln(e^{3x}) = ln(12)$ ⇒ $3x = ln(12)$

Solving for 'x':

$3x = ln(12)$  ⇒ $x = 4ln(12)$

With the help of a calculator: $x = 4ln(12) = 9.94$