Question

Considerando que loga2 = 40, loga 5=90 calcule o valor de loga 500

Answer 1

$log_{a}(2) = 40 \\ a = \sqrt[40]{2}$
$log_{a}(5) = 900 \\ a = \sqrt[900]{5}$
$log(500) = \\ log_{10}(500) \\ log_{10}(100 \times 5) \\ log_{10}(100) + log_{10}(5) \\ log_{10}(10^{2} ) + log_{10}(5) \\ 2 + log_{10}(5)$