Question

3) Calcule log 5400 ( Dados: log 2 = 0,30, log 3 = 0,47 e log 5 = 0,70 ).

a) 2,15
b) 2,47
c) 3,24
d) 3,71
e) 3,93

Answer 1

Explicação passo-a-passo:

$\sf log~5400=log~(2^3\cdot3^3\cdot5^2)$

$\sf log~5400=log~2^3+log~3^3+log~5^2$

$\sf log~5400=3\cdot log~2+3\cdot log~3+2\cdot log~5$

$\sf log~5400=3\cdot0,30+3\cdot0,47+2\cdot0,70$

$\sf log~5400=0,90+1,41+1,40$

$\sf log~5400=3,71$

Letra D