1) (1/4)^2x+2>1/16 2) 4^4x+2<1/64 3) (1/3)^-4x-2>=1 4) (1/3)^2x+1<=1/27 5)...

Question

1) (1/4)^2x+2>1/16

2) 4^4x+2<1/64</p>

3) (1/3)^-4x-2>=1

4) (1/3)^2x+1<=1/27</p>

5) (1/3)^3x+2<=1/27</p>

6) 2*3^x+7/3^x<61*3^-x</p>

Answer 1

1) 1/4^(2x+2)>1/4^2; 2x+2 <2 ; x<0<br>2)4^4x+2<4^(-3); 4x+2 < -3 ; 4x< -5 : x< -1,25 .<br>4)  (1/3)^2x+1<=1/3^3; 2x +1 => 3 ; x=>1;
3)  (1/3)^-4x-2=>1/3^0 ; 4x-2 <= 0 : x<=1/2 .<br>5)(1/3)^3x+2<=1/3^3 ; 3x+2 => 3 ; x=> 1/3

Comments

нужны промежутки

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3) [1;∞)

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5)[ 1/3;∞)