Resolver aplicando propiedades a) 31+log3 4+2log2(3)−2 b) 2log2 3 ∗ (1/3)log5(25)−1 ∗ log9 2 ∗ log4 81 c) Expresar en un solo logaritmo log (75/16)...

a) 31 + log3 4 + 2log2(3) - 2 = 31 + log3 4 + log2(3^2) - 2 = 29 + log3 4 + log2 9 = 29 + log3 4 + 3 b) 2log2 3 ∗ (1/3)log5(25)−1 ∗ log9 2 ∗ log4 81 = 2log2 3 ∗ (1/3)(2log5 5)−1 ∗ log9 2 ∗ 4log4 3^4 = 2log2 3 ∗ (1/3)(2)−1 ∗ log9 2 ∗ 4log4 3^4 = 2/3 log2 3 - 1/3 log5 5 + 2 log3 2 c) log (75/16) - 2 log (5/9) + log(32/243) = log [(75/16) / (5/9)^2 * (32/243)] = log [(75/16) * (81/25) * (32/243)] = log (32/16) = log 2