Решите неравенство: (12/13)^x>=12^x

(12/13)^x>=12^x, 12^x/13^x>=12^x, 12^x>=13^x*12^x,1>=13^x, 13^0>=13^x, x<=0.Ответ: хЄ(-oo;0]

[latex]( frac{12}{13} )^{x} geq 12^{x}, |:12^{x}e 0\\frac{12^{x}}{13^{x}} :12^{x} geq 1\\frac{1}{13^{x} }geq 1, |cdot (13^{x} extgreater 0)\\1 geq 13^{x}\\13^{x} leq 13^0\\x leq 0\\xin (-infty ,0, ]\\oo[/latex]