Answer is: pH of lactic acid is: 3. 2.174.
Chemical reaction:
C₃H₆O₃(aq) ⇄ C₃H₅O₃⁻(aq) + H⁺(aq).
c(lactic acid - C₃H₆O₃) = 0,06 M.
Ka(C₃H₆O₃) = 8.4·10⁻⁴.
[H⁺] = [C₃H₅O₃⁻] = x.
[C₃H₆O₃] = 0.06 M - x.
Ka = [C₃H₅O₃⁻] · [H⁺] / [C₃H₆O₃].
8.4·10⁻⁴ = x² / (0.06 M -x).
Solve quadratic equation: x = [H⁺] = 0.0067 M.
pH = -log[H⁺].
pH = -log(0.0067 M) = 2.17.