Question

Jika ^2log3=p dan ^3log5=q maka ^12log75

Answer 1

2log3 = p dan 3log5 = q

12log75
= log 75 : log12
= log (5 . 5 . 3) : log (2.2.3)
= 3log5 + 3log5 + 3log3 : 3log2 + 3log2 + 3log3
= q + q + 1 : 1/p + 1/p + 1
= 2q + 1 : 2/p + 1
= 2q + 1 : 2/p + p/p
=2qp + p : 2 + p
= 2qp : 2
= qp

smoga mmbntu ya :)