Question

O valor de Log8/log1/8 é igual a:

Answer 1

Oi Barbara

log(1/8) = log(1) - log(8) = 0 - log(8) = -log(8)

log(8)/-log(8) = -1 

.

Answer 2

Olá!

$\\ \mathsf{\frac{\log 8}{\log \frac{1}{8}} =} \\\\ \mathsf{\frac{\log 8}{\log 1 - \log 8} =} \\\\ \mathsf{\frac{\log 2^3}{\log 2^0 - \log 2^3} =} \\\\ \mathsf{\frac{3 \cdot \log 2}{0 \cdot \log 2 - 3 \cdot \log 2} =} \\\\ \mathsf{\frac{3 \cdot \log 2}{- 3 \cdot \log 2} =} \\\\ \boxed{\mathsf{- 1}}$