Question

помогите решить 2 и 3 номера

Answer 1

1)Одз: x>0
${x}^{2 + log_{3}(x) } = 27 \\ {x}^{2} \times {x}^{ \frac{1}{ log_{x}(3) } } = 27 \\ {x}^{2} \frac{1}{3} = 27 \\ {x}^{2} = 81 \\ x = 9$
2) Одз x≠3/2
$log_{ \frac{1}{3} }( \frac{2x - 3}{x + 2} ) > 0 \\ log_{3}( \frac{x + 2}{2x - 3} ) < 0 \\ x < - 2 \\ ( - 2. \frac{3}{2} )v( \frac{3}{2}. + \infty )$