Question

Considerando que log a 2= 20, log a 3 = 25 e log a 5 = 30, o valor de log a 100 é

Answer 1

Log(a)100 = Log(a)(20x5) = Log(a)20 + Log(a)5 = Log(a)(2²x5) + Log(a)5 = Log(a)2² + Log(a)5 + Log(a)5 = 
2Log(a)2 + 2Log(a)5 = 2.20 + 2.30 = 40 + 60 = 100