Hasil dari 8 log 5 × 36 log 64 × 25 log 6
Matematika
Rikasafitri1312
Pertanyaan
Hasil dari 8 log 5 × 36 log 64 × 25 log 6
1 Jawaban
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1. Jawaban BerukBerpose
8log5 x 25log6 x 36log64
= 8log5 x 5^2log6 x 6^2log4^3
=1/2 x 3/2 x 8log5 x 5log6 x 6log4 (lihat sifat : a^nlog b^m = (m/n) alogb
= 3/4 x 8log4 8 log 4 ==> 8^p = 4
=3/4 x 2/3 (2^3)^p = 2^2
=2/4 (2^3)^2/3 = 2^2
=1/2 2^2 = 2^2
jadi p = 2/3 atau 8log4 = 2/3