Question

Se log30 3 = a e log30 5 = b, calcule log 2 em função de a e b.

Answer 1

$Log_{30} 3 = a \\ Log_{30} 5 = b \\ Log_{2} ab$

log1. $Log_{30} 3 = a$→$30^{a} = 3$

log2. $Log_{30} 5 = b$→$30^{b} = 5$

log3. $Log_{2}ab$→$2^{ab}$