Question

considerando log2=0,3 log3=0,5 e log5=0,7 determine o valor de (log1,5) ao quadrado

Answer 1

Olá!

$(\log 1,5)^2 = \\\\ \left ( \log \frac{15}{10} \right )^2 = \\\\ \left ( \log 15 - \log 10 \right )^2 = \\\\ \left ( \log (3 \cdot 5) - \log 10^1 \right )^2 = \\\\ \left ( \log 3 + \log 5 - 1 \right )^2 = \\\\ \left ( 0,5 + 0,7 - 1 \right )^2 = \\\\ (0,2)^2 = \\\\ \boxed{0,04}$