1) 5^(3x-1) = 0,2;
5^(3x-1) = 5^(-1);
3x - 1 = - 1;
3x = 0;
x = 0;
2) (1/2)^(2-x) = 8√2;
2^(x-2) = 2^(3,5);
x- 2= 3,5;
x = 5,5.
3) 6^(2x-8) = 216^x;
6^(2x-8) = 6^(3x);
2x - 8 = 3x;
x = -8.
4)(2/3)^(8x+1) = (1/5)^(2x-3);
(2/3)^(8x+1)= (2/3)^(3 - 2x);
8x + 1 = 3 - 2x;
10 x = 2;
x = 0,2.
5) 2^x * (3/2)^x = 1/9;
2^x * 3^x / 2^x = 1/9;
3^x = 1/9;
3^x = 3^(-2);
x = -2.
6)0,3^x *3^x = ∛0,81;
(0,3*3)^x =∛(0,9)^2;
(0,9)^x = 0,9^(2/3) ;
x = 2/3.
7)3^x - 3^(x +3) = - 78;
3^x - 3^x* 3^3 = - 78 ;
3^x - 27 *3^x = - 78;
3^x(1-27) = - 78;
- 26*3^x = - 78;
3^x = 3;
x = 1