Question

log[16/15]+log[15/24]+log[81/48]

Answer 1

Here is the solution :

Formulas required :
Log a + log b = log (a*b) ------(1)
Log a - log b = log (a/b) ------(2)

Easiest method :

Using formula (1) we can write the question as,

Log (16/15) + log (15/24) + log (81/48) = log ((16/15)*(15/24)*(81/48))

15 gets cancelled, Now simplifying,
=> log((16*81)/(24*48))
=> log (27/24)

Therefore the answer is log (27/24) or log 27 - log 24,

Long method :

Applying formula (2),
=> Question can re-written as,

log 16 - log 15 + log 15 - log 24 + log 81 - log 48,
=> log 16 + log 81 - log 24 - log 48,

=> log ((16*81)/(24*48))
=> log 27/24 again,
=> log 27 - log 24,

Therefore : The answer is log (27/24) or log 27 - log 24 !

Hope you understand, Have a great day !
Thanking you, Bunti 360 !!

Answer 2

➡HERE IS YOUR ANSWER⬇

♧ Formula ♧

log (a/b) = log a - log b

log (ab) = log a + log b

log (abc) = log a + log b + log c

log (a^n) = n log a


♧♧ Solution ♧♧

Now,

log (16/15) + log (15/24) + log (81/48)

= log {(16×15×81)/(15×24×48)}

= log (9/8)

⬆HOPE THIS HELPS⬅