jika diketahui log 2= p dan log 3 = q

Materi : Eksponen dan Logaritma
Bahasan : Sifat - Sifat Logaritma

Langkah - langkah dan Jawaban :
ᵃlog b + ᵃlog c = ᵃlog bc
ᵃlog bⁿ = n ᵃlog b
log 2 = p
log 3 = q

a. log 54
log 54 = log (9 x 3 x 2)
log 54 = log 9 + log 3 + log 2
log 54 = log 3² + log 3 + log 2
log 54 = 2 log 3 + log 3 + log 2
log 54 = 2q + q + p
log 54 = 3q + p

b. log 60
log 60 = log (10 x 2 x 3)
log 60 = log 10 + log 2 + log 3
log 60 = 1 + p + q