Nilai dari 2 log 16 + 4 log 8 - 8 log 4 + 16 log8

Mapel : Matematika
Materi : Logaritma

log aⁿ = n.log a
n. log a + m.log a = (n + m) log a
n. log a - m.log a = (n - m) log a

= 2 log 16 + 4 log 8 - 8 log 4 + 16 log 8
= 2 log 2⁴ + 4 log 2³ - 8 log 2² + 16 log 2³
= (2 × 4) log 2 + (4 × 3) log 2 - (8 × 2) log 2 + (16 × 3) log 2
= 8 log 2 + 12 log 2 - 16 log 2 + 48 log 2
= (8 + 12 - 16 + 48) log 2
= 52 log 2

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