Question

Use natural logarithms to solve the equation. Round to the nearest thousandth. 6e4x - 2 = 3

–0.046

0.327

–0.448

0.067

Answer 1

6 · e^(4x - 2) = 3
e^(4x - 2) = .5
ln e^(4x - 2) = ln (.5)
4x - 2 = ln (.5)
4x = ln (.5) + 2
x = (ln (.5) + 2)/4
x = 0.3267
x ≈ 0.327

Answer: B