Розв`язки

77^2x +4(7 3)^x – 3^2x 3=0 2 81^x+1 – 36^x+1 – 3 16^x+1=0

7 + 4 – 3 =0 2 3^4x+4 – 6^2x+2 – 3 2^4x+4 = 0

= t; t 0 2 - - 3= 0

1. 7t² + 4t - 3=0 2. = t; t 0

t₁ = - 1; t₂ = 2t² – t – 3 = 0

= t₁ = , t₂ = - 1

x = - 1 =

2x + 2 = 1

x = - 0,5

9 16^x - 7 12^x - 16 9^x = 0 3 2^2x + 6^x - 2 3^2x = 0

9 4^2x – 7(3 4)^x – 16 3^2x = 0 3 2^2x + 6^x - 2 3^2x = 0

9 - 7 - 16 = 0 3 + - 2 = 0

3. = t; t 0 4. t; t 0

9t² – 7t – 16 = 0 3t² + t – 2 = 0

t₁ = ; t₂ = - 1 t₁ = -1, t₂ =

=

x=2 x=1

VІI тип

1. 3^x = 4 – x 2. = x + 3

3. = x+1 4. 4^x = 5 – x

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

7. ma 8. 3^-x = -

VIІ тип

Розв`язки

1. 3^x = 4 – x 2. = x + 3

x = 1 x = - 1

3. = x+1 4. 4^x = 5 – x

x = 0 x=1

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

x=1 x=1

7. ma 8. 3^-x = -

x= - 1 x= - 1