soal logaritma itu kek mana jwbnya???

Mapel : Matematika
Kelas : X SMA
Bab : Eksponen dan Logaritma

Pembahasan :
4||

²log 3 = a ——» 2a = ²log 9
²log 5 = b

Maka...
⁵log 180 = ²log 180 / ²log 5
⁵log 180 = ²log (9 x 5 x 4) / ²log 5
⁵log 180 = [²log 9 + ²log 5 + ²log 4] / ²log 5
⁵log 180 = [2a + b + 2] / b

Opsi D.

Bab Logaritma
Matematika SMA Kelas X

3] 2 . log 4 + 3 . log 5 - (1/2) . log 4
= log (4^2) + log (5^3) - log 4^(1/2)
= log (16 x 125 / 2)
= log 1.000
= 3

◎◎ C ◎◎

4] ^5log 180
= (²log 180) / (²log 5)
= (²log (2² . 5 . 3²) / b
= (²log 2² + ²log 5 + ²log 3²) / b
= (2 + b + 2a)/b
= (2a + b + 2)/b

◎◎ D ◎◎