Answer
$E. pH = pK_a$
Work Step by Step
- Analyzing the Henderson-Hasselbalch equation:
$pH = pK_a + log(\frac{[Base]}{[Acid]})$
If $[Base] = [Acid]$, then: $\frac{[Base]}{[Acid]} = 1$
$pH = pK_a + log(1)$
$pH = pK_a + 0$
$pH = pK_a$