Question

Use a definição para calcular log 16 8

Answer 1

$log_{16}(8) = x$

${16}^{x} = 8$

${( {2}^{4} ) }^{x} = ( {2}^{3} )$

${2}^{4x} = {2}^{3}$

$4x = 3$

$x = \frac{3}{4}$

logo,

$log_{16}(8) = \frac{3}{4} = 0.75$