Question

exercicios a) log2 128 b) log4 64 c) log7 343 d) log3 1/81 e) log2 1/32​
me ajudem urgente!!!

Answer 1

Resposta:

a)

Temos que:

$128 = {2}^{7}$

Dessa forma, temos:

$x = log_{2}( {2}^{7} )$

Pela propriedade

$log_{a}( {a}^{n} ) = n.log_{a}(a)$

temos:

$x = 7 log_{2}(2)$

$x = 7$

b)

$64 = {4}^{3}$

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

$x = 3$

c)

$343 = {7}^{3}$

$x = log_{7}( {7}^{3} )$

$x = 3$

d)

$\frac{1}{81} = {3}^{ - 4}$

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

$x = - 4$

e)

$\frac{1}{32} = {2}^{ - 5}$

$x = log_{2}( {2}^{ - 5} )$

$x = - 5$