jika 5log3 = p dan 5log7 = q,maka nilai dari45log175√3 =

Mapel : Matematika
Materi : Logaritama

5log 3 = p
5loh 7 = q

= 45log 175√3

= 5log 175√3 / 5log 45

= 5log (5*5*7*√3) / 5log (5*3*3)

= [2•5log 5 + 5log 7 + 5log 3^½] / [5log 5 + 2•5log 3]

= [2(1) + q + p(1/2)] / [1 + 2p]

= [2 + q + p(1/2)] /[1 + 2p]

= [4 + 2q + p] / [2 + 4p]