Question

Determine
$log_{2}( \sqrt[3]{ \frac{4}{3} } )$
se
$log_{2}(3) = a$
por favor me ajudem.
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Answer 1

Resposta:

$log_{2}( \sqrt[3]{ \frac{4}{3} } ) \\ log_{2}( \frac{4}{3} ^{ \frac{1}{3} } ) \\ \frac{1}{3} log_{2}( \frac{4}{3} ) \\ \frac{1}{3} log_{2}( \frac{2^{2} }{3} ) \\ \\ \frac{1}{3}( log_{2}{2}^{2} - log_{2}(3) ) \\ \frac{1}{3} (2 log_{2}(2) - log_{2}(3) ) \\ \frac{1}{3} (2 - a) \\ \frac{2 - a}{3}$