Question

Sabendo que o log 4 = 0,60206. Qual é o
valor do log 40 000 ?

(A) 0.160206
(B) 3,60206
(C) 4,160206
(D) 4,60206

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Answer 1

Explicação passo-a-passo:

Lembre-se que:

• $\sf log_{b}~(a\cdot c)=log_{b}~a+log_{b}~c$

• $\sf log_{b}~a^m=m\cdot log_{b}~a$

• $\sf log~10=1$

Temos que:

$\sf log~40000=log~(4\cdot10000)$

$\sf log~40000=log~4+log~10000$

$\sf log~40000=log~4+log~10^4$

$\sf log~40000=log~4+4\cdot log~10$

$\sf log~40000=0,60206+4\cdot1$

$\sf log~40000=0,60206+4$

$\sf \red{log~40000=4,60206}$

Letra D