0 \\ 5x > 0 \\ {x}^{2} + 6 = 5x \\ {x}^{2} - 5x + 6 = 0 \\ x = 2 \\ x = 3" alt=" log_{3}( {x}^{2} + 6 ) = log_{3}(5x) \\ {x}^{2} + 6 > 0 \\ 5x > 0 \\ {x}^{2} + 6 = 5x \\ {x}^{2} - 5x + 6 = 0 \\ x = 2 \\ x = 3" align="absmiddle" class="latex-formula">
Ответ: 2, 3.