we-say-that-Log-z-1-z-2-Log-z-1-Log-z-2-when-Re-z-1-0-and-Re-z-2-0-prove-this-

Question Number 132032 by mohammad17 last updated on 10/Feb/21

$${we}\:{say}\:{that}\:{Log}\left({z}_{\mathrm{1}} {z}_{\mathrm{2}} \right)={Log}\left({z}_{\mathrm{1}} \right)+{Log}\left({z}_{\mathrm{2}} \right) \\ $$$${when}:\:{Re}\left({z}_{\mathrm{1}} \right)\leqslant\mathrm{0}\:{and}\:{Re}\left({z}_{\mathrm{2}} \right)\leqslant\mathrm{0} \\ $$$${prove}\:{this}\:? \\ $$

Commented by mohammad17 last updated on 10/Feb/21