Question

Tolong Dibantu Ya kaaa ....Logaritma~ :D

Diketahui :²㏒3 = x
:²㏒5=y
Ditanya :²㏒ 45√15

Answer 1

Verified answer

Mapel : Matematika
Kelas : X SMA
Bab : Logaritma

Pembahasan :
²log 45√15
= ²log 45 + ²log √15
= ²log (3² x 5) + ²log (√5 . √3)
= 2 .²log 3 + ²log 5 + 1/2 . ²log 5 + 1/2 ²log 3
= 2x + y + 1/2y + 1/2x
= (2 + 1/2)x + (1/2 + 1)y
= 5/2x + 3/2y
= 3/2(x + y)