jika 5log 3 = p dan 5log 7 = q, maka nilai dari 45 log 175√3 =.?

Mapel : Matematika
Materi : Logaritma
Kelas : 11
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5log 3 = p
5log 7 = q

Ditanya → 45log 175√3 = ___?

Penyelesaian :
___________

= 45log 175√3

= 5log 175√3 / 5 log 45

= 5log (5*5*7*√3)/ 5 log (5*3*3)

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

= [2(1) + q + p(½)] / [1 + 2(p)]

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