Question

ajuda !!!!
3) Determine o valor das expressões abaixo aplicando as propriedades do
logaritmos:
a) log₃ 3
b) log₅ 1
c) 4 log₄ 7
d) log₃ 4x = log₃ 16

Answer 1

Resposta:

3)

a)

$\Large log_{a}a = 1 \\ \\ \Large log_{3}3 = \Large \boxed{ \green{1}}$

b)

$\Large log_{a}1 = 0 \\ \\ \Large log_{5}1 = \Large \boxed{ \green{ 0}}$

c)

$4 log_{4}7 = x \\ \\ \: log_{4} {7}^{4} = x \\ \\ log_{ {2}^{2} } {7}^{4} = x \\ \\ \dfrac{4}{2}log_{2}7\\ \\ \Large \boxed{\green{x = 2log_{2}7}}$

d)

$\red{ \not log_{3}}4x = \red{ \not log_{3}}16 \\ \\ 4x = 16 \\ \\ x = \frac{16}{4} \\ \\ \Large \boxed{ \green{x = \bf 4}}$

$\Large \boxed{ \underline{ \blue{ \bf \: Bons \: Estudos!}}} \\ \\ \Large \boxed{ \underline{ \bf \: 22/05/2021}}$