3. Tentukan nilai x yang memenuhi persamaan berikut.

Eksponen

soal diperbaiki

a.

6²ˣ ⁻ ¹ = 216

6²ˣ ⁻ ¹ = 6³

2x – 1 = 3

x = (3 + 1)/2

x = 2

b.

3ˣ ⁻ ⁵ = 81

3ˣ ⁻ ⁵ = 3⁴

x – 5 = 4

x = 4 + 5

x = 9

c.

25³ˣ = 125⁴ˣ ⁻ ²

(5²)³ˣ = (5³)⁴ˣ ⁻ ²

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

2x = 4x – 2

x = 2x – 1

2x – x = 1

x = 1

6^2x – 1 = 216

6^2x – 1 = 6³

2x – 1 = 3

2x = 3 + 1

2x = 4

x = 4/2

x = 2

3^x – 5 = 81

3^x – 5 = 3⁴

x – 5 = 4

x = 4 + 5

x = 9

25^3x = 125^4x – 2

(5²)^3x = (5³)^4x – 2

5^6x = 5^12x – 6

6x = 12x – 6

6x – 12x = -6

-6x = -6

x = -6/-6

x = 1

:)