The logarithm clog is the inverse function of the exponential cexp. Thus, if y = clog(z), then z = cexp(y). The imaginary part of y is chosen in the interval [-I*pi,I*pi].
One has clog(z) = log(cabs(z))+I*carg(z).
Please note that z close to zero will cause an overflow.
cabs(3), cexp(3), clog10(3