Pertanyaan

Diketahui 2 lo g 3 = p d an 3 lo g 5 = q . Hasil dari 5 lo g 12 = ....

Diketahui $^{2} lo g 3 = p d an^{3} lo g 5 = q .$ Hasil dari $^{5} lo g 12 = ....$

$fraction numerator q plus 1 over denominator p squared end fraction$
$fraction numerator 2 plus p over denominator p q end fraction$
$fraction numerator 2 q plus 1 over denominator p q end fraction$
$fraction numerator 2 plus p over denominator p end fraction$
$fraction numerator 2 q over denominator p q end fraction$

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Jawaban terverifikasi

Pembahasan

$table row 5 row space end table log 12 equals fraction numerator table row 3 row space end table log to the power of straight space 12 over denominator table row 3 row space end table log 5 end fraction equals fraction numerator table row 3 row space end table log to the power of straight space 4 times 3 over denominator table row 3 row space end table log 5 end fraction equals fraction numerator table row 3 row space end table log to the power of straight space 4 plus table row 3 row space end table log to the power of straight space 3 over denominator q end fraction equals fraction numerator table row 3 row space end table log to the power of straight space 2 squared plus table row 3 row space end table log to the power of straight space 3 over denominator q end fraction equals fraction numerator 2 times table row 3 row space end table log to the power of straight space 2 plus 1 over denominator q end fraction equals fraction numerator 2 times fraction numerator 1 over denominator table row 2 row space end table log to the power of straight space 3 end fraction plus 1 over denominator q end fraction equals fraction numerator 2 times 1 over p plus 1 over denominator q end fraction equals fraction numerator fraction numerator 2 plus p over denominator p end fraction over denominator q end fraction equals fraction numerator 2 plus p over denominator p q end fraction$