Question

sabendo que log 2/10=0,30 e log ^3 10 = 0,4771​

Answer 1

1)

a)

$log(6) = log(2.3) \\ = log(2) + log(3) \\0,3010+0,4771 = 0,7781$

b)

$log(64) = log( {2}^{6} ) = 6 log(2) \\ = 6.0,3010 =1,806$

c)

$log(1,5) = log( \frac{3}{2}) \\ = log(3) - log(2) \\ = 0,4771 - 0,3010 \\ = 0,1761$

d)

$log(128) = log( {2}^{7} ) = 7 log(2) \\ = 7.0,3010 =2,107$

$log(0,2) = log( \frac{2}{10} ) \\ = log(2) - log(10) \\ = 0,4771 - 1 \\ = - 0,5229$

f)

$log(5) = log( \frac{10}{2} ) \\ = log(10) - log(2) \\ = 1 -0,4771 \\ = 0,5229$

2)

a)

$log(14) = log(2.7) \\ = log(2) + log(7) \\ = 0,30+0,85 \\ = 1,15$

b)

$log(49) = log( {7}^{2} ) = 2 log(7) \\ = 2.0,85 = 1,17$

c)

$log(21) = log(3.7) \\ = log(3) + log(7) \\ = 0,30+0,85 \\ = 1,15$d)

$log(70) = log(7.10) \\ = log(7) + log(10) \\ =0,85 + 1 \\ = 1,85$

e)

$log(0,07) = log( \frac{7}{100} ) \\ log(7) - log(100) = 0,85 - 2 \\ = -1,15$