0\\\\11m+\frac{3}{m}-34\leq0\\\\\frac{11m^{2}-34m+3 }{m}\leq0\\\\\frac{11(m-\frac{1}{11})(m-3) }{m}\leq0\\\\m(m-\frac{1}{11})8m-3)\leq0,m\neq0" alt="11^{x+1}+3*11^{-x} \leq34\\\\11*11^{x}+\frac{3}{11^{x} }-34\leq0\\\\11^{x} =m,m>0\\\\11m+\frac{3}{m}-34\leq0\\\\\frac{11m^{2}-34m+3 }{m}\leq0\\\\\frac{11(m-\frac{1}{11})(m-3) }{m}\leq0\\\\m(m-\frac{1}{11})8m-3)\leq0,m\neq0" align="absmiddle" class="latex-formula">
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![1)11^{x}\geq\frac{1}{11}\\\\11^{x} \geq11^{-1}\\\\x\geq-1\\\\2)11^{x}\leq3\\\\x\leq log_{11}3\\\\Otvet:\boxed{x\in[-1;log_{11}3]}](https://tex.z-dn.net/?f=1%2911%5E%7Bx%7D%5Cgeq%5Cfrac%7B1%7D%7B11%7D%5C%5C%5C%5C11%5E%7Bx%7D%20%5Cgeq11%5E%7B-1%7D%5C%5C%5C%5Cx%5Cgeq-1%5C%5C%5C%5C2%2911%5E%7Bx%7D%5Cleq3%5C%5C%5C%5Cx%5Cleq%20log_%7B11%7D3%5C%5C%5C%5COtvet%3A%5Cboxed%7Bx%5Cin%5B-1%3Blog_%7B11%7D3%5D%7D "1)11^{x}\geq\frac{1}{11}\\\\11^{x} \geq11^{-1}\\\\x\geq-1\\\\2)11^{x}\leq3\\\\x\leq log_{11}3\\\\Otvet:\boxed{x\in[-1;log_{11}3]}")