Question 315507: Solve. Where appropriate, include approximations to the nearest thousandth. If no solution exists, state this.
ln x - ln (x - 4) = ln 4
Answer by CharlesG2(834)   (Show Source):
You can put this solution on YOUR website! Solve. Where appropriate, include approximations to the nearest thousandth. If no solution exists, state this.
ln x - ln (x - 4) = ln 4
logarithmic rule: logb (m/n) = logb (m) - logb (n)
ln is base e, where e is Euler's Number, approx. 2.718, so b = e
ln (x/(x-4)) = ln 4
x/(x-4) = 4 (took away the ln, this should be equivalent)
x = 4(x-4)
x = 4x - 16
-3x = -16
3x = 16 (divided both sides by -1)
x = 16/3 = 5.333 (to the nearest thousandth)
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