Question

Encontre o valor de m, sabendo que log m na base 2= log 5 base 2+log 10- 2log 5 na base 2

Answer 1

$log_{2}(m)= log_{2}(5)+ log_{2}(10)-2log_{2}(5)$
$log_{2}(m)= log_{2}(10)-log_{2}(5)$
$log_{2}(m)= log_{2}(10/5)$
$log_{2}(m)= log_{2}(2)$
$m=2$