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1.
2.a)
b)
x=28;
c)
3.
a)![\log_{ \frac{1}{3}}(x-2)>-3\log_{ \frac{1}{5}} ( \sqrt[3]{ \frac{1}{5}} );\\ x>2; x\in(2;+\infty);\\ \log_{ \frac{1}{3}}(x-2)>-1;\\ \log_{ \frac{1}{3}}(x-2)>\log_{ \frac{1}{3}}((\frac{1}{3})^-1) ;\\ x-2<3; x<5; \\ x\in(2;5)](https://tex.z-dn.net/?f=%5Clog_%7B+%5Cfrac%7B1%7D%7B3%7D%7D%28x-2%29%3E-3%5Clog_%7B+%5Cfrac%7B1%7D%7B5%7D%7D+%28++%5Csqrt%5B3%5D%7B+%5Cfrac%7B1%7D%7B5%7D%7D++%29%3B%5C%5C%0Ax%3E2%3B+x%5Cin%282%3B%2B%5Cinfty%29%3B%5C%5C%0A%5Clog_%7B+%5Cfrac%7B1%7D%7B3%7D%7D%28x-2%29%3E-1%3B%5C%5C%0A%5Clog_%7B+%5Cfrac%7B1%7D%7B3%7D%7D%28x-2%29%3E%5Clog_%7B+%5Cfrac%7B1%7D%7B3%7D%7D%28%28%5Cfrac%7B1%7D%7B3%7D%29%5E-1%29+%3B%5C%5C%0Ax-2%3C3%3B%0Ax%3C5%3B%0A%5C%5C+%C2%A0x%5Cin%282%3B5%29)
b) [tex](1 \frac{11}{25})^{\log_{9}(x)}>( \frac{5}{6} )^{\log_{ \frac{1}{9}}(6-5x)} ; \left \{ {{x>0;} \atop {x< \frac{6}{5} }} \right.\\ ( \frac{36}{25} )^{\log_{9(x)}}>( \frac{6}{5} )^{\log_{9}(6-5x)};\\ 2\log_{9}(x)>\log_{9}(6-5x); x^2+5x-6>0;\\ D=25+24=49;\\ x_{1}= \frac{-5-7}{2}=-6\\ x_{2}= \frac{-5+7}{2}=1\\ \left \{ {{01}} \right. }} \right.\\ 1<>
2.a)
b)
x=28;
c)
3.
a)
b) [tex](1 \frac{11}{25})^{\log_{9}(x)}>( \frac{5}{6} )^{\log_{ \frac{1}{9}}(6-5x)} ; \left \{ {{x>0;} \atop {x< \frac{6}{5} }} \right.\\ ( \frac{36}{25} )^{\log_{9(x)}}>( \frac{6}{5} )^{\log_{9}(6-5x)};\\ 2\log_{9}(x)>\log_{9}(6-5x); x^2+5x-6>0;\\ D=25+24=49;\\ x_{1}= \frac{-5-7}{2}=-6\\ x_{2}= \frac{-5+7}{2}=1\\ \left \{ {{01}} \right. }} \right.\\ 1<>