J.R. S. answered 04/20/21
Ph.D. University Professor with 10+ years Tutoring Experience
When the [base] = [conjugate acid] the pH = pKa. You can see this in the Henderson Hasselbalch equation:
pH = pKa + log [conjugate base]/[acid] or pOH = pKb + log [conjugate acid]/[base]. When the concentrations are equal, the ratio is 1, and log of 1 = 0, so pH = pKa.
If you have the pH, then you also know the pKa and hence the Ka. Does this help?