A method of computing logarithms, comprising receiving a number, computing an exponent and
significand of the received number, selecting a
breakpoint value from a plurality of
breakpoint values segmenting a range of the
significand wherein the selected
breakpoint value is the
significand's greatest lower bound or lowest upper bound, computing a multiplication of the exponent and a logarithm value of two, computing a first intermediate value based on a least significant portion of the significand and an inverse value of the selected breakpoint value, computing an approximated logarithm value of a second intermediate value derived from the first intermediate value, computing a logarithm value of the significand by summing the approximated logarithm value and a logarithm value of the selected breakpoint value, computing a logarithm value of the received number by summing the logarithm value of the significand and the multiplication of the exponent and the logarithm value of two.