Question

Dados log 2=0,301; log 3=0,477; log 5= 0,699

a)log 30

b)log 64

c)log ⁷√2,5

Answer 1

Resposta:

a)

$log\, 30 = log\, (2*3*5) = log\, 2 + log\, 3 + log\, 5 = 0,301 + 0,477 + 0,699 = 1,477$

b)

$log\, 64 = log\, 2^{6} = 6\, log\, 2 = 6 * 0,301 = 1,806$

c)

$log\, \sqrt[7]{2,5} = log\, \sqrt[7]{\frac{5}{2} } = \frac{1}{7}\, log\, \frac{5}{2} = \frac{1}{7} (log\, 5 - log\, 2) = \frac{1}{7} (0,699 - 0,301) = 0,05685$