1. 6^(x)>36
6^(x)>6²
x>2
11.3*4^(x)+2*9^(x)-5*6^(x)<0<br>3*2^(2x)+2*3^(2x)-5*3^(x)*2^(x)<0<br>3*2^(2x) + 2*3^(2x) -5*3^(x)*2^(x) <0<br> 3^(2x) 3^(2x) 3^(x)*3^(x)
3*(2/3)^(2x) + 2 - 5*(2/3)^(x)<0<br>Пусть (2/3)^(x) = y
3y² +2 - 5y <0<br>3y² -5y+2<0<br>3y²-5y+2=0
D=25-24=1
y₁= 5-1 = 4/6 = 2/3
6
y₂ = 5+1 =6/6 =1
6
+ - +
--------- 2/3 ------------- 1 -------------
\\\\\\\\\\\\\\\\
2/3
При у>2/3
(2/3)^(x)>2/3
x<1<br>
При у<1<br>(2/3)^(x)<1<br>(2/3)^(x)<(2/3)⁰<br>x>0
{x<1<br>{x>0
x∈(0; 1)