Question

log3(x+3)(x+5)+log3 x+3/x+5=4​

Answer 1

Ответ:

$log_{3}(x + 3)(x + 5) + log_{3}( \frac{x + 3}{x + 5} ) = 4 \\ log_{3}(x + 3) + log_{3}(x + 5) + log_{ 3}(x + 3) - log_{3}(x + 5) = 4 \\ log_{3}(x + 3)(x + 3) = 4 \\ {(x + 3)}^{2} = {3}^{4} \\ x + 3 = {3}^{2} \\ x + 3 = 9 \\ x = 9 - 3 \\ x = 6$