Question

Log 128 base é raiz 16​

Answer 1

Olá !

Calculando o logaritmo de 128 na base raiz de 16 , conforme pede o enunciado .

$\mathsf{Log_{(\sqrt{16})}^{128}} \\\\\\ \mathsf{(\sqrt{16})^{x}=128} \\\\\\ \mathsf{Log(\sqrt{16})^{x}=Log128} \\\\\\ \mathsf{X\cdot~Log(\sqrt{16})=Log128} \\\\\\ \mathsf{X=\dfrac{Log128}{Log(\sqrt{16})}} \\\\\\ \mathsf{X=\dfrac{Log128}{Log4}} \\\\\\ \mathsf{X=\dfrac{2,107}{0,602}} \\\\\\ \boxed{\mathsf{X=3,5}}$

Portanto , o valor de Log é 3,5 .

Espero ter colaborado !!