Jawaban:

1. 4^(2x) = 64^(3-x)

4^(2x) = 4^(3(3-x))

2x = 3(3-x)

2x = 9-3x

5x = 9

x = 9/5

2. 64^(x+6) =4^(x^2)

4^(3(x+6)) = 4^(x^2)

3(x+6) = x^2

3x + 18 = x^2

x^2 - 3x - 18 = 0

(x-6)(x+3) = 0

x = 6 atau x = -3

3. 2^(2x+1)-10.2^x+8 > 0

2^(2x).2 - 10.2^x + 8 > 0

• Misal 2^x = u

2u^2 - 10u + 8 > 0

u^2 - 5u + 4 > 0

(u-4) (u-1) > 0

u < 1 atau u > 4

Untuk u < 1

2^x < 1

2^x < 2^0

x < 0

Untuk u > 4

2^x > 4

2^x > 2^2

x > 2

Hp = {x | x < 0 atau x > 2, x adl bil. real}

4.

(1/3)^(x-2) >= (1/27)^(1-x)

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

x-2 >= 3(1-x)

x-2 >= 3-3x

4x >= 5

x >= 5/4