Question

(FEB-SP) Sabendo-se que log 2 = 0, 301e log 3 = 0,477, pode-se concluir que log 72 é:

a) 1,954

b) 1,556

c) 1,774

d) 1,857

e) 1,778

Answer 1

$log \: 72 \\ log \: 72 = log( {2}^{3} \times {3}^{2} ) \\ log \: 72 = log \: {2}^{3} + log \: {3}^{2} \\ log \: 72 = (3 \times log \: 2 )+( 2 \times log \: 3) \\ log \: 72 = (3 \times 0.301) + (2 \times 0.477) \\ log \: 72 = 0.903 + 0.954 \\ log \: 72 = 1.857$

Alternativa correta: letra D.