Question

calcule pela definiçao os seguintes logaritmos:
a)log3 9=
b) log2 128=
c)log5 125=
d)log 1000=
e) log8 16=

Answer 1

$a)\ log_3 9=2,\ pois\ 3^{2}=9$
$b)\ log_2 128=7,\ pois\ 2^{7}=128$
$c)\ log_5 125=3,\ pois\ 5^{3}=125$
$d)\ log 1000=3,\ pois\ 10^{3}=1000$
$e)\ log_8 16=\dfrac{log_2 16}{log_2 8}=\dfrac{4}{3}=1,33333...$