diketahui 2log 5=p Dan 3log 5=q tentukan hasil dari 30log 150

²log5=p, ³log5=q

30log150
=30log(5×30)
=30log5+30log30
=1/5log30 + 1
= 1/5log(5×2×3) + 1
= 1/(5log5+5log2+5log3) + 1
= 1/(1+ 1/²log5+ 1/³log5) + 1
= 1/(1+ 1/p+ 1/q) +1
= 1/(pq/pq+q/pq+p/pq) +1
= 1/((pq+q+p)/pq) +1
= pq/(pq+q+p) +1
= pq/(pq+q+p) +(pq+q+p)/(pq+q+p)
= (pq+pq+q+p)/(pq+q+p)
= (2pq+q+p)/(pq+q+p)