Use natural logarithms to solve the equation. Round to two decimal places.
e^3x =14
To solve the equation e^3x = 14 using natural logarithms, we will take the natural logarithm of both sides:
ln(e^3x) = ln(14)
3x * ln(e) = ln(14)
3x = ln(14)
Now divide both sides by 3:
x = ln(14) / 3
x ≈ ln(14) / 3 ≈ 0.88
Therefore, the solution to the equation e^3x = 14 is x ≈ 0.88.