Question

Considerando log 2 = 0,3010 e log 3 = 0,4771, calcule

A) Log200=
B) Log 3000=
C) log360=

Answer 1

Resposta:

a) 2,3010

b) 3,4771

c) 2,5562

Explicação passo-a-passo:

a) log 200 = log 2.100 = log2.10²= log 2 + log 10² = log 2 + 2 .log 10 = 0,3010 + 2.1= 2,3010

b) log 3000 = log 3.1000 = log 3 . 10³ = log 3 + 3.log10 = 0,4771 + 3 . 1 = 0,4771 + 3 = 3,4771

c) log 360 = log36 . 10 = log6² + log 10 = 2.log6 + 1 = 2.log 2.3 + 1 = 2 .( log2 + log3) + 1 = 2. (0,3010 + 0,4771) + 1 = 2 . 0,7781 + 1 = 1,5562 + 1 = 2,5562