Question

Questão de Logaritmo

Answer 1

log₃ 6 - log₉ x = 1/2

log₃ 6 - (log₃ x/ log₃ 9) = 1/2

(log₃ 9 . log₃ 6) - log₃ x = 1/2 . log₃ 9

(log₃ 9 . log₃ 6) - log₃ x = log₃ √9

(log₃ 9 . log₃ 6) - log₃ x = log₃ 3

(log₃ 9 . log₃ 6) - log₃ x = 1

2. log₃ 6 - log₃ x = 1

log₃ 6 ² - log₃ x = 1

log₃ 36 - log₃ x = 1

log₃ 36/x = 1

3 ¹ = 36/x

3x = 36

x = 12