Use natural logarithms to solve the equation.
e^3x =14
Round to two decimal places.
To solve the equation e^3x = 14 using natural logarithms, we take the natural logarithm of both sides:
ln(e^3x) = ln(14)
3x = ln(14)
Now we solve for x:
x = ln(14)/3
x ≈ ln(14)/3 ≈ 0.94
Therefore, the solution to the equation e^3x = 14 is x ≈ 0.94.