Задание

Решите неравенство \(\dfrac{\log_{7^{x+6}}{12}}{\log_{7^{x+6}}{(x^2-16)}}\geqslant\dfrac{\log_{3}{(x^2+11x-12)}}{\log_{3}{(x^2-16)}}\).

\(\left[\dfrac{-11-\sqrt{217}}{2};-12\right)\cup(4;\sqrt{17})\)

\(\left[-\dfrac{-11-\sqrt{217}}{2};-12\right]\cup(4;\sqrt{17})\)

\(\left[-\dfrac{-11-\sqrt{217}}{2};-12\right)\cup(4;\sqrt{17}]\)

\(\left(-\dfrac{-11-\sqrt{217}}{2};-12\right)\cup(4;\sqrt{17})\)