Question

dado log 5 = P, calcule o valor de log 200 em função de P

Answer 1

Olá!

$\\ \mathsf{\log 200 =} \\\\ \mathsf{\log (2 \cdot 100) =} \\\\ \mathsf{\log 2 + \log 100 =} \\\\ \mathsf{\log\left(\frac{10}{5}\right)+\log10^2 =} \\\\ \mathsf{\left(\log10-\log5\right)+2 \cdot \log 10 =} \\\\ \mathsf{(1 - P) + 2 \cdot 1 =} \\\\ \mathsf{1 - P + 2 = }\\\\ \boxed{\mathsf{3 - P}}$