Question

Clue => 2 log 3 = 4
Lebih jelas digambar

Answer 1

Verified answer

Materi: Logaritma

Perhatikan bahwa 2log 3 = 4 memiliki bentuk lain yaitu 3log 2 = 1/4 (sifat logaritma)
(9log 16 + 9log 64 -9log 256) / 4log2
= (9log (16×64/256) / 1/2
= (9log 4) × 2 = (3log2) × 2 = 1/4 × 2 = 1/2.

Answer 2

Verified answer

Logaritma

Berhubung ²log 3 bukan 4 , saya pake ²log 3 = x aja.

(^9 log 16 + ^9 log 64 - ^9 log 256) / ( ⁴log 2)

= ( ^9 log (16×64÷256)) / ( ^(2²) log 2¹)
= (^9 log 4) / ( 1/2 × ²log 2)
= ( ^(3²) log 2² ) × 2/1
= ( 2/2 . ³log 2) × 2
= ³log 2 × 2

Sifat logaritma ,
^a log b = 1/ (^b log a)

maka ³log 2 = 1/(²log3)

= (1/x) . 2
= 2/x

Jika mengikuti " clue "
maka : x = 4
= 2/4
= 1/2