Решите неравенство _(1/2)((2)/(9^x - 1)) _(1/2)((1)/(3^x + 31)).
_(1/2)((2)/(9^x - 1)) _(1/2)((1)/(3^x + 31)) cases (2)/(9^x - 1) (1)/(3^x + 31) x > 0 cases cases 2(3^x + 31) 9^x - 1 x > 0 cases cases 9^x - 2 * 3^x - 63 0 x > 0 cases cases -7 3^x 9 x > 0 cases 0 < x 2.
\( x \in (0, 2] \)