Question

Log₄ (2/Log₁₆ 4)?
Alguém pode explicar o passo a passo?

Answer 1

$log_{4}(2) - log_{4}( log_{16}(4) ) \\ log_{4}(2) - log_{4}( log_{ {4}^{2} }(4) ) \\ log_{4}(2) - log_{4}( \frac{1}{2} ) \\ log_{ {2}^{2} }(2) - log_{ {2}^{2} }( {2}^{ - 1} ) \\ \frac{1}{2 } - ( - \frac{1}{2} ) = 1$

Answer 2

Bom dia 

log4(2/log16(4)) 

passo a passo

log16(4) = log(4)/log(16) = 2log(2)/4log(2) = 1/2 

2/log16(4) = 2/(1/2) = 4 

log4(4) = 1