jika 5log 3 = p dan 5 log 7 =q maka nilai dari 45log 175 akar3

Mapel : Matematika
Bab : Logaritma
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5log 3 = p
5log 7 = q


Ditanya → 45log 175√3

Penyelesaian :
___________

= 45log 175√3

= 5log 175√3 / 5log 45

= 5log [5*5*7*√3] / 5log [5*3*3]

= [2 • 5log 5 + 5log 7 + 5log 3^1/2] / [5log 5 + 2 • 5log 3]

= [2(1) + q + p(½)] / [1 + 2p]

= [2 + q + p(½)] / [1 + 2p]

= [4 + 2q + p] / 2[1 + 2p]

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