Question

por favor me colabora con este ejercicio de logaritmo base 2
si 4 log2 16=m y log2 x=6

Answer 1

$Hola~~ \\ \\ \textcircled{1}~~4log_216=m \\ \\ ~~~~~~\underline{resoluci\acute{o}n~} \\ \\ log_216 ^{4}=m \\ \\ 2^{m}= 16^{4} \\ \\ 2^{m}= (2^{4}) ^{4} \\ \\ =\ \textgreater \ \boxed{\boxed{m=16}} \\ \\ ================================== \\ \textcircled{2}~~log_2x=6 \\ \\ ~~~~~~\underline{resoluci\acute{o}n~} \\ \\ ~~~~~~2^{6}=x \\ \\ =\ \textgreater \ \boxed{\boxed{x=64}}$

$===================================\\~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ Saludos!!$