jika log 2=a dan log 3=b maka log 54/8=

Log 54/8

= log 54- log 8

= log (9.6) - log (2^3)

= log 9 + log 6 - 3. Log 2

= log (3^2)+ log (2.3) - 3 log 2

= 2 Log 3 + log 2 + log 3 - 3log 2

= 2b + a + b - 3a

= 3b - 2a

Diketahui:
log2 = a
log3 = b

Ditanya:
log 54/8 = ??

Jawab:
log 54/8
= log54 - log8
= log(3³.2) - log(2³)
= log3² + log2 - log2³
= 3.log3 + log2 - 3.log2
= 3.b + a - 3.a
= 3b + a - 3a
= 3b - 2a