Question

Determine o valor dos logaritmo

a)log3 81
b)log1/2 512
c)log[] (5)5
d)log8 1​

Answer 1

Resposta:

a)

$81 = {3}^{4}$

$x = log_{3}( {3}^{4} )$

$x = 4$

b)

$512 = {2}^{9}$

$\frac{1}{2} = {2}^{ - 1}$

$x = log_{ {2}^{ - 1} }( {2}^{9} )$

$x = - log_{2}( {2}^{9} )$

$x = - 9$

c)

$x = log_{5}(5)$

$x = 1$

d)

$x = log_{8}(1)$

${8}^{x} = 1$

${8}^{x} = {8}^{0}$

$x = 0$