Question

Sabendo que log 2=0,30,log 3=0,47,log 5=0,69.qual o valor de log 30, de log 100,de log 180,de log 60 e de log 76?
Alguém me ajuda

Answer 1

$log(30) = log(3 \times 10) = \\ log(3) + log(10) = \\ 0.47 + 1 = 1.47$


$log(100) = log( {10}^{2} ) = \\ 2 \times log(10) = 2 \times 1 = 2$


$log(180) = log(2 \times {3}^{2} \times 10 ) = \\ log(2) + 2log(3) + log(10) = \\ 0.30 +0 .94 + 1 = 2.24$


$log(60) = log(2 \times 3 \times 10) = \\ log(2) + log(3) + log(10) = \\ 0.30 + 0.47 + 1 = 1.77$


$log(76) = log( {2}^{2} \times 19) = \\ 2log(2) + log(19) = \\ 0.60 + log(19)$