jika ^2log3 = x dan ^2log5 = y, maka ^2log45 akar 15 adalah

LOGARITMA

2'log 3 = x
2'log 5 = y

2'log 45√15
= 2'log (3² × 5 × √3 × √5)
= 2'log 3^(5/2) + 2'log 5^(3/2)
= 5/2 . 2'log 3 + 3/2 . 2'log 5
= 5/2 x + 3/2 y
= 1/2 (5x + 3y)