Question

Tentukan nilai dari
a) ⁵log 200 - ⁵log 8
b) ³log 27 + ³log 9
c) ²log 64 + ³log 27 + ⁵log 125​

Answer 1

Penjelasan dengan langkah-langkah:

a). ⁵log 200 - ⁵log 8

= ⁵log (200 ÷ 8)

= ⁵log 25

= ⁵log 5²

= 2

b). ³log 27 + ³log 9

= ³log (27 × 9)

= ³log 243

= ³log 3⁵

= 5

c). ²log 64 + ³log 27 + ⁵log 125

= (²log 2⁶) + ³log 27 + ⁵log 125

= 6 + (³log 3³) + ⁵log 125

= 6 + 3 + (⁵log 5³)

= 6 + 3 + 3

= 9 + 3

= 12