No!, the value u obtained is a actually the concentration of OH-, right?
so in this case, when u take -lg(value), you are actually calculating pOH. Yes then you can use pH + pOH = 14
your note is correct or probably unclear, pH = -log (value)
See the pH, the H tells you the value you use should be [H+] so if you use [OH-] it doesn't work.
kelvin