Question

решите, пожалуйста))))

Answer 1

B1. 3^x=81;
3^x=3^4;
x=4.

B2. 10^x=0,0001;
10^x=10^-4;
x=-4.

B3. (1/2)^(x+9)=1/128;
(1/2)^(x+9)=(1/2)^7;
x+9=7;
x=-2.

B4. 4^5x=32;
2^10x=2^5;
10x=5;
x=1/2.

B5. (2/3)^(3x+5)=3/2;
(2/3)^(3x+5)=(2/3)^-1;
3x+5=-1;
3x=-6;
x=-2.

B6. 3^(4-3x)=3^(2x+9);
4-3x=2x+9;
-5x=5;
x=-1.

B7. (√2)^x=1/16;
2^0,5x=2^-4;
0,5x=-4;
x=-8.

B8. 5^(2x-1)=25√5;
5^(2x-1)=5^2,5;
2x-1=2,5;
2x=3,5;
x=1,75.

B9. 3^(0,5x)=√3/3;
3^(0,5x)=3^-0,5;
0,5x=-0,5;
x=-1.

B10. 16*2^3x=2;
2^(4+3x)=2;
4+3x=1;
3x=-3;
x=-1.

B11. 3^(5x+1)=27^(1/4);
3^(5x+1)=3^(3/4);
5x+1=0,75;
5x=-0,25;
x=-0,05.

B12.32^((5x-9)/6)=√2/64;
2^(5(5x-9)/6)=2^-5,5;
5(5x-9)/6=-5,5;
25x-45=-33;
25x=12;
x=0,48.