Pertanyaan

Diketahui 3 lo g 5 = p dan 3 lo g 2 = q maka 8 lo g 30 adalah….

Diketahui $^{3} lo g 5 = p$ dan $^{3} lo g 2 = q$ maka $^{8} lo g 30$ adalah….

$fraction numerator straight p plus straight q plus pq over denominator 3 pq end fraction$
$fraction numerator 3 pq over denominator straight p plus straight q plus pq end fraction$
$fraction numerator straight p plus pq plus 1 over denominator 3 pq end fraction$
$fraction numerator 3 pq over denominator straight p plus straight q plus pq end fraction$
$fraction numerator 3 pq over denominator straight p plus pq plus 1 end fraction$

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I. Sutiawan

Master Teacher

Mahasiswa/Alumni Universitas Pasundan

Jawaban terverifikasi

Pembahasan

$log presuperscript 8 space 30 equals fraction numerator log presuperscript 5 space 30 over denominator log presuperscript 5 space 8 end fraction equals fraction numerator log presuperscript 5 space 2 plus log presuperscript 5 space 3 plus log presuperscript 5 space 5 over denominator 3 times log presuperscript 5 space 2 end fraction equals fraction numerator straight q plus begin display style 1 over straight p end style plus 1 over denominator 3 straight q end fraction equals fraction numerator straight p plus 1 plus pq over denominator 3 pq end fraction$