Розв`язки

4^2x - 2 4^2x-1 – 3 4^2x-2 = 12 7^x+2 + 4 7^x+1 = 539

4^2x-2 (4² – 2 4 – 5) = 12 7^x+1 ( 7 + 4 ) = 539

4^2x-2 3 = 12 7^x+1 11 = 539

1. 4^2x-2 = 4 2. 7^x+1 = 49

2x-2=1 7^x+1 = 7²

2x=3 x+1=2

x-1,5 x = 1

2^x+1 + 2^x = 12 5 2^2x+1 - 2^2x = 18

2^x(2+1) = 12 2^2x(5 2 -1) = 18

3. 2^x 3 = 12 4. 2^2x 9=18

2^x = 4 2^2x = 2

2^x = 2² 2x = 1

x = 2 x=0,5

4^x+1 + 4^x = 320 2^x + 3 2^x-1 = 10

4^x (4+1) = 320 2^x-1 (2+3 )=10

5. 4^x 5 = 320 6. 2^x-1 = 2

4^x = 64 x-1 = 1

4^x = 4³ x = 2

x = 3

2 5^x+1 - 5^x = 45 10^x+2 + 10^x = 101

5^x ( 2 5 - 1) = 45 10^x (10² + 1) = 101

7. 5^x = 5 8. 10^x 101 = 101

x = 1 10^x = 1

x = 0

V тип

1. 4^x - 0,25^x-2 = 15 2. 3^x+3^3-x = 12

3. 9^х – 6 3^х – 27 =0 4. 2^2х -3 2^х – 32=0

5. 3^2x-2 3^x – 63 = 0 6. 2^2x – 3 2^x – 40 = 0

7. 3^2x-8 3^x-9=0 8. 10^2x - 11 10^x + 10 = 0

V тип