Antilogarithm is the inverse of logarithm. If log(x) = a, then antilog(a) = x or x = 10^a. Finding antilog: Use antilog tables (reverse of log tables); characteristic indicates decimal place position; mantissa determines significant digits. Example: antilog(1.5) means find x where log(x) = 1.5. Characteristic 1 means 2 digits before decimal. Mantissa 0.5 → look in antilog table → ≈ 3.162. So x ≈ 31.62. Steps: (1) Identify characteristic and mantissa; (2) Look mantissa in antilog table; (3) Place decimal using characteristic. Shortcut: Characteristic + 1 = number of digits before decimal. Exam tip: Practice reading antilog tables. Common antilog values: antilog(0.3010) ≈ 2, antilog(0.4771) ≈ 3, antilog(0.6021) ≈ 4.