log 2=a dan log 6=b ,log 75 adalah?

Kelas 10 Matematika
Bab Logaritma

log 2 = a
log (10/5) = a
log 10 - log 5 = a
log 5 = 1 - a

log 6 = b
log (2 . 3) = b
log 2 + log 3 = b
a + log 3 = b
log 3 = b - a

log 75 = log (3 . 25)
log 75 = log 3 + log 25
log 75 = b - a + log 5²
log 75 = b - a + 2 . log 5
log 75 = b - a + 2 (1 - a)
log 75 = b - a + 2 - 2a
log 75 = -3a + b + 2