Question

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

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