jika [tex] log_{7}2 = a dan log_{2} = b.nyatakan log_{6}98 dalam a dan b[/tex]

Kelas 10 Matematika
Bab Logaritma

⁶log 98
= (²log 98) / (²log 6)
= (²log (49 . 2)) / (²log (2 . 3))
= (²log 49 + ²log 2) / (²log 2 + ²log 3)
= (²log 7² + 1) / (1 + b)
= (2 . ²log 7 + 1) / (b + 1)
= ((2/a) + 1) / (b + 1)
= (2 + a)/a : (b + 1)
= (a + 2)/(ab + a)