what's a log
Plots of logarithm for bases 0.5, 2 and e. In mathematics, the logarithm is the inverse operation to exponentiation, just as division is the inverse of multiplication and vice versa. That means the logarithm of a number is the exponent to which another fixed number, the base, must be raised to produce that number. In simple cases the logarithm counts factors in multiplication.
-logy, -logia, a suffix meaning a science or study of: mammalogy, metabology, neonatology. Suffix meaning 1. The study of the subject noted in the body of the word, or a treatise on the same; the English equivalent is-logy, or, with a connecting vowel, -ology [G. logos, discourse, treatise].