Question

05) Dados log 2 – 0,3, log 3 – 0,5 e log 5 – 0,7, calcule: log 60.​

Answer 1

$log(60) = log( {2}^{2} \times 3 \times 5 ) \\ log(60) = log( {2}^{2} ) + log(3) + log(5) \\ log(60) = 2 \times log(2) + log(3) + log(5) \\ log(60) = 2 \times 0.3 + 0.5 + 0.7 \\ log(60) = 0.6 + 0.5 + 0.7 \\ log(60) = 1.8$

Então, log 60 = 1,8.