Question

calcule o valor do logaritmo:

a)
$log_{3}( \frac{1}{9} )$
b)
$log_{2}( \frac{1}{32} )$
c)
$log_{3}( \frac{1}{27} )$
d)
$log_{5}( \frac{1}{125} )$
​

Answer 1

Explicação passo-a-passo:

a)

$\sf log_{3}~\dfrac{1}{9}=log_{3}~3^{-2}$

$\sf log_{3}~\dfrac{1}{9}=-2$

b)

$\sf log_{2}~\dfrac{1}{32}=log_{2}~2^{-5}$

$\sf log_{2}~\dfrac{1}{32}=-5$

c)

$\sf log_{3}~\dfrac{1}{27}=log_{3}~3^{-3}$

$\sf log_{3}~\dfrac{1}{27}=-3$

d)

$\sf log_{5}~\dfrac{1}{125}=log_{5}~5^{-3}$

$\sf log_{5}~\dfrac{1}{125}=-3$