Jawaban:

lihat penjelasan

Penjelasan dengan langkah-langkah:

1. (8 x-² y⁵ z²) / (4 x-¹ y² z-⁴)

= 2 y³ z⁶ / x

2. 16-² . 25³ / 4² . 5²

= (2⁴)-² . (5²)³ / (2²)² . 5²

= 2-⁸ . 5⁶ / 2⁴ . 5²

= 5⁴ / 2¹²

3. 10 / √5 = ... (2√5)

= (10 / √5) × (√5 / √5)

= (10√5 / (√5)²)

= 10√5 / 5

= 2√5

4. 12 / (3 - √3) = ... ( 6 + 2√3 )

= (12 / (3 - √3)) × (3 + √3) / (3 + √3)

= {12(3 + √3) / (3 - √3)(3 + √3)}

= (36 + 12√3) / (9 - 3)

= 6 + 2√3

5. ⁵log 3 . ⁴log 25 . ³log 4 = ... ( 2 )

= ⁵log 3 . ³log 4 . ⁴log 25

(menggunakan sifat logaritma, ²log 3 . ³log 2 = ²log 2), maka,

= ⁵log 25

= ⁵log 5²

= 2 . ⁵log 5

= 2 . 1

= 2

6. ³log 12 - ³log 4 + ³log 9 = ... ( 2 )

= ³log (12 × 9 ÷ 4)

= ³log (3 × 9)

= ³log 27

= ³log 3³

= 3 . ³log 3

= 3 . 1

= 3

7. ²log 3 = b , ³log 4 = c

a) ⁸log 9 = ...

= ²^³log 3²

= ⅔ . ²log 3

= ⅔ b

b) ⁶log 12 = ...

= ⁶log 6 + ⁶log 2

= 1 + (1 / ²log 6)

= 1 + {1 / (²log (2 × 3))}

= 1 + {1 / (²log 2 + ²log 3)}

= 1 + {1 / (1 + b)}

= {(1 + b) + 1} / (1 + b)

= (2 + b) / (1 + b)

semoga membantu ya. cmiiw :)