Question

me ajudem nessa
$log( \frac{3}{2} ) \: \: \frac{81}{16}$
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Answer 1

Explicação passo-a-passo:

log_{ \frac{2}{3} }( \frac{16}{81} ) = xlog32(8116)=x

( \frac{2}{3} {)}^{x} = \frac{16}{81}(32)x=8116

( \frac{2}{3} {)}^{x} = \frac{ {2}^{4} }{ {3}^{4} }(32)x=3424

( \frac{2}{3} {)}^{x} = ( \frac{2}{3} {)}^{4}(32)x=(32)4

x = 4x=4