Question

Dados log 2 = 0,301; log 3 = 0,477; log 5 = 0,699 e log 7 = 0,845, calcule:

a) log 210

b) log 1,2​

Answer 1

Explicação passo-a-passo:

A)

$log(210)$

$log(2 \times 5 \times 7 \times 3)$

$log(2) + log(5) + log(7) + log(3)$

$0.301 + 0.699 + 0.845 + 0.477$

$\boxed{\orange{2.322}}$

___________________________________________

B)

$log(1.2)$

$log( \frac{12}{10} )$

$log(12) - log(10)$

$log(2 \times 3 \times 2) - 1$

$log(2) + log(3) + log(2) - 1$

$0.301 + 0.477 + 0.301 - 1$

$\boxed{\orange{0.079}}$

Espero ter ajudado!