Question

Considerando Log base a, 2 = 0,69 e log base a, 3 = 1,10 calcular log base a Raiz quarta de 12

Answer 1

$log_{a} 2 = 0,69 \\ log _{a} 3 = 1,10 \\ \\ log_{a} \sqrt[4]{12} = log_{a} 12^{ \frac{1}{4} }= \frac{1}{4} .(log_{a}12) = \frac{1}{4} .(log_{a}2^{2}.3) \\ \\ \frac{1}{4} .(2.log_{a}2 + log_{a}3)=\frac{1}{4} .(2.0,69 + 1,10)=\frac{1}{4} .(2,48)=0,62$

Espero ter ajudado.