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


–0.046

0.327

–0.448

0.067

Answers

Probably 0.067 which is option d


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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


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