The log of the quotient is the log of the numerator plus the log of the denominator?

Not quite. The log(x/y) = log(x) - log(y) In words, this reads "The log of a quotient is the difference of the log of the numerator and the log of the denominator."

No. The log of a quotient is the log of a denominator subtracted from the log of the numerator.

True.For example:4 X 104/2 X 108 = 2 X 10-4

False When logs are taken, division becomes subtraction, so the log of a quotient is the log of the numerator minus the log of the denominator.

log(2) + log(4) = log(2x) log(2 times 4) = log(2x) 2 times 4 = 2 times 'x' x = 4