5log3=p dan 3log7=q maka nilai dari 45log175√3

5log3 = p
³log5 = 1/p
³log7 = q

45log175√3 = ³log(5² x 7 x 3^½)/³log(3² x 5)
= (2.³log5 + ³log7 + ½.³log3)/(2.³log3 + ³log5)
= (2/p + q + ½)/(2 + 1/p)
= (4q + 2pq + p)/2p ÷ (2p+1)/p
= (p + 2pq + 4q)/2p x p/(2p+1)
= (p + 2pq + 4q)/(4p + 2)