From Henderson equation of acidic buffer solution we know,
pH = pKa +log [A-]/[salt]
degree of ionization (∞) = √Kc/C = 3.4e-3
So,[CH3COO-] = C∞ = 3.4e-3 × 0.09 = 0.306e-3
So, pH = 4.7 + log [ 0.306e-3]/1.5 = 4.7 + log 0.0204 (log 0.0204 = -1.69)
= 4.7 - 1.69
= 3.01