Pertanyaan

Bentuk sederhana dari 3 lo g pq lo g p 3 q − 2 lo g q + lo g p 2 q 6

Bentuk sederhana dari $\frac{lo g p ^{3} q - 2 lo g q + lo g p ^{2} q ^{6}}{3 lo g pq}$

log pq
log pq

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Habis dalam

Klaim

N. Mustikowati

Master Teacher

Mahasiswa/Alumni Universitas Negeri Jakarta

Jawaban terverifikasi

Pembahasan

$fraction numerator log p cubed q minus 2 log q plus log p squared q to the power of 6 over denominator 3 log p q end fraction equals fraction numerator log p cubed q minus log q squared plus log p squared q to the power of 6 over denominator log left parenthesis p q right parenthesis cubed end fraction equals fraction numerator log open parentheses fraction numerator p cubed q. p squared q to the power of 6 over denominator q squared end fraction close parentheses over denominator log open parentheses p q close parentheses cubed end fraction equals log presubscript space presuperscript open parentheses p q close parentheses cubed end presuperscript open parentheses p to the power of 3 plus 2 end exponent q to the power of 1 plus 6 minus 2 end exponent close parentheses equals log presubscript space presuperscript open parentheses p q close parentheses cubed end presuperscript open parentheses p to the power of 5 q to the power of 5 close parentheses equals log presubscript space presuperscript open parentheses p q close parentheses cubed end presuperscript open parentheses p q close parentheses to the power of 5 equals 5 over 3 log presubscript space presuperscript p q end presuperscript p q equals 5 over 3$