Question

Se y= √ ̄10√ ̄10√ ̄10 o valor do logaritmo decimal de y é:
a) 0,125
b) 1,750
c)0,875
d)1,500
e)0,375

Answer 1

$\mathsf{y=\sqrt{10}\cdot\sqrt{10}\cdot\sqrt{10} \Rightarrow y=\sqrt{10^3}}\\\\\\\mathsf{\ell og (\sqrt{10^3})=y}\\\\\mathsf{\frac{3}{2}\cdot \ell og(10)=y}\\\\\mathsf{\frac{3}{2}\cdot1 = y}\\\\\boxed{\mathsf{y=1,5}}$

Resposta (d)

Dúvidas? comente

Answer 2

Resposta: a) 0,125

Explicação passo-a-passo:

Logaritmo de y: log y = ?

y = √10√10√10

10^x = y

10^x = √10√10√10

10^x = 8√10 (Raiz oitava de 10)

10x = 10^1/8

x = 1/8

Logaritmo decimal = 1/8 = 0,125