Question

15)Determinem a expressão P sabendo que:
$a) log(p) = 2 \times log(a) + log(b)$
$b) log_{2}(p) = 3 \times log_{2}(a) + log_{2}(b) - 2 \times log_{2}(c)$
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Answer 1

Resposta:

$a) \: log(p) = 2 \times log(a) + log(b) \\ log(p) = 2 log_{}(ab) \\ p = 2ab \\ \\ b) \: log_{2}(p) =3 log_{2}(a) + log_{2}(b) - 2 log_{2}(c) \\ log_{2}(p) = 3 log_{2}(ab) - 2log_{2}(c) \\ log_{2}(p) = 3 log_{2}( \frac{ab}{2c} ) \\ \\ p = \frac{3ab}{2c}$

Espero ter lhe ajudado! ✌☺