Use natural logarithms to solve the equation. Round to two decimal places.

Question

e^3x =14

Answer 1

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.