Question

dados log 2=0,30 e log 3=0,48 calcule: log 0,0054

AJUDA PFV

Answer 1

$log(0.0054) = \\ log( \frac{54}{10000} ) = \\ log(54) - log(10000) = \\ log( {3}^{3} \times 2 ) - log( {10}^{4} ) = \\ 3 log(3) + log(2) - 4 log(10) =$

agora substituindo os valores:

$3 \times 0.48 + 0.3 + 4 \times 1 = \\ 1.44 + 0.3 + 4 = \\ 1.74 + 4 = \\ 5.74$