Jawaban:

Maaf ya jika agak cepet caranya.

1. 5^(3x+2) = 5^2

3x+2 = 2

x = 0

2. 8^((x-3)/3) = 2^(-4)

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

x-3 = - 4

x = - 1

3. 3^((x-2)/2) = 3^(2x-10)/3^(2x+2)

(x-2)/2 = (2x-10)-(2x+2)

x-2 = -24

x = -22

4. x^2 - 2x +3 = 0

(x-3)(x+1) = 0

x = 3 atau x = - 1

5. x^2 - 4 = 0

x = 2 atau x = - 2

6. Cara cepat x=0

Cara tepat:

5^x.5^2 + 5^2x.5^2 - 50 = 0

5^x + 5^2x - 2 = 0

Let 5^x = z

z + z^2 - 2 = 0

(z+2)(z-1) = 0

z= - 2 atau z=1

z= - 2

5^x = -2

Tidak ada x yang memenuhi karena positif pangkat berapapun hasilnya positif.

z=1

5^x = 1

x=0

7.

2x+3 = x+1

x = -2

x-2 = 0

x = 2

x-2 = 1

x = 3

x-2 = -1 saat 2x+3= genap dan x+1 = genap

x = 1

Cek

2.1+3 (ganjil) salah

1+1 (genap) benar

HP = {-2, 2, 3}

8.

²log2^(x-4) = ²log3^(2x-1)

x-4 = (2x-1).²log3

x - 2x.²log3 = 4 - ²log3

x(1-2.²log3) = 4 - ²log3

x = ²log(16/3)/²log(2/9)

9.

2x + 2 = 0

x = - 1

3x-2 = x+2

2x = 4

x = 2

3x-2 = -(x+2) dengan syarat pangkat harus genap

3x - 2 = - x-2

4x = 0

x = 0

Cek pangkat

2x+2

2.0+2 (genap) benar

Hp = {-1, 0, 2}