Oblicz: log ¹/₉ 27 = a log a 2 = - ⅓ log₂₇ 81 = x log 0,00001 log₁₆128 log (10⁻⁴)¹²

log ¹/₉ 27 = a (¹/₉)^a = 27 (1 / 3²)^a = 3³ (3⁻²)^a = 3³ 3^(-2a) = 3³ -2a = 3 /:(-2) a = -3/2 = -1,5 log a 2 = - ⅓ a^- ⅓ = 2 1 /a^⅓ = 2 a^⅓ = ½ /³ a = (½)³ = ⅛ log₂₇ 81 = x 27^x = 81 3^(3x) = 3⁴ 3x = 4 /:3 x = 4/3 = 1⅓ log 0,00001 = x 10^x = 0,00001 10^x = 1/100000 10^x = 1 / 10⁵ 10^x = 10⁻⁵ x = -5 log₁₆128 = x 16^x = 128 2^(4x) = 2⁷ 4x = 7 /:4 x = ⁷/₄ = 1 log (10⁻⁴)¹² = x 10^x = (10⁻⁴)¹² 10^x = 10⁻⁴⁸ x = -48