Question

Calcule os seguintes logaritmos: ​

Answer 1

a)

$log_{2}( \frac{1}{16} ) = {2}^{x} = \frac{1}{16} \\ {2}^{x} = \frac{1}{ {2}^{4} } \\ {2}^{x} = {2}^{ - 4} \\ x = - 4$

b)

$log_{3}(243) = {3}^{x} = 243 \\ {3}^{x} = {3}^{5} \\ x = 5$

c)

$log_{4}(32) = {4}^{x} = 32 \\ ({ {2}^{2} )}^{x} = {2}^{5} \\ {2}^{2x} = {2}^{5} \\ 2x = 5 \\ x = \frac{2}{5}$