Answer: x=1.09
Explanation:
To solve for x, we can take the natural logarithm of both sides of the equation:
ln(e^(3x)) = ln(12)
Using the property of logarithms that ln(e^y) = y, we can simplify the left side to:
3x = ln(12)
Then, we can divide both sides by 3 to solve for x:
x = (1/3)ln(12)
Using a calculator to evaluate ln(12) and round to the nearest hundredth, we get:
x ≈ 1.09