I.6.1 Find and plot logz for the following complex numbers 2. Specify the principal value. (a) 2 Solution (a) (b) i (c) 1+i (d) (1+i3)/2 Suppose that n = 0, 1, 2,... (b) log 2 log |2|+i Arg 2 + 2ni = log 2+ i2n. = Suppose that n = 0, 1, 2,... (c) log ilog || +i Argi+2ni = i/2+ i2n. Suppose that n = 0, +1, +2,... == log (1 + i) = (d) == = log |1+i+i Arg (1 + i) + 2ni = log 2+ in/4+ i2n = Suppose that n = 0, 1, 2,... = log 2/2+i/4+ i2n. log (1+iva) = = log | Hi3 + i Arg (1+3) + 2ni =