Question

Sendo log 2 = 0,30 e log 3 = 0,47, então o log 72 é aproximadamente igual a : *
2 pontos
0,57
1,84
2,01
1,37

Answer 1

$72=2^3\cdot3^2\\\\\\\log(72)=\\\\\log(2^3\cdot3^2)=\\\\\log(2^3)+\log(3^2)=\\\\3\log(2)+2\log(3)=\\\\3(0.3)+2(0.47)=\\\\0.9+0.94=\\\\\boxed{1.84}$