Question

5. Решите уравнение: log3 x² - log3 x/(x+6)=3​

Answer 1

log3 x² - log3 x/(x+6) = 3

log3 x² - log3 x/(x+6) = log3 3³

x²/(x/(x+6))=3³

(x+6)/x = 27, x≠0

x + 6 = 27x

6 = 27x - x

6 = 26x

x = 26/6 = 13/3 = 4 1/3

ответ: 4 1/3