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![log_2x leq frac{2}{log_2x-1} \
x textgreater 0, log_2x-1 neq 0\
x textgreater 0, x neq 2\
log_2x=a\
a leq frac{2}{a-1} \
frac{a(a-1)-2}{a-1} leq 0\
frac{a^2-a-2}{a-1} leq 0\
frac{(a+1)(a-2)}{a-1} leq 0\
...\](https://tex.z-dn.net/?f=log_2x+leq++frac%7B2%7D%7Blog_2x-1%7D+%5C%0Ax+textgreater++0%2C++log_2x-1+neq+0%5C%0Ax+textgreater++0%2C+x+neq+2%5C%0Alog_2x%3Da%5C%0Aa+leq++frac%7B2%7D%7Ba-1%7D+%5C%0A+frac%7Ba%28a-1%29-2%7D%7Ba-1%7D++leq+0%5C%0A+frac%7Ba%5E2-a-2%7D%7Ba-1%7D++leq+0%5C%0A+frac%7B%28a%2B1%29%28a-2%29%7D%7Ba-1%7D++leq+0%5C%0A...%5C "log_2x leq frac{2}{log_2x-1} \
x textgreater 0, log_2x-1 neq 0\
x textgreater 0, x neq 2\
log_2x=a\
a leq frac{2}{a-1} \
frac{a(a-1)-2}{a-1} leq 0\
frac{a^2-a-2}{a-1} leq 0\
frac{(a+1)(a-2)}{a-1} leq 0\
...\")
![log_2x leq -1, 1 textless log_2x leq 2\
log_2x leq log_20,5, log_22 textless log_2x leq log_24\
x leq 0,5, 2 textless x leq 4\
Answer: xin(0;0,5]U(2;4]](https://tex.z-dn.net/?f=log_2x+leq+-1%2C++1+textless++log_2x+leq+2%5C%0Alog_2x+leq+log_20%2C5%2C++log_22+textless++log_2x+leq+log_24%5C%0Ax+leq+0%2C5%2C++2+textless++x+leq%C2%A04%5C%0AAnswer%3A++xin%280%3B0%2C5%5DU%282%3B4%5D "log_2x leq -1, 1 textless log_2x leq 2\
log_2x leq log_20,5, log_22 textless log_2x leq log_24\
x leq 0,5, 2 textless x leq 4\
Answer: xin(0;0,5]U(2;4]")
______.______o________.______
-1 1 2
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