Expanding logarithm of function Is there a way (there has to be), I can expand an expression like this? log_2 (3f(n)^n) P.S. This part of an assignment I'm working on, please do not give solutions

Juan Lowe

Juan Lowe

Answered question

2022-11-06

Expanding logarithm of function
Is there a way (there has to be), I can expand an expression like this?
log 2 ( 3 f ( n ) n )
P.S. This part of an assignment I'm working on, please do not give solutions

Answer & Explanation

Samuel Hooper

Samuel Hooper

Beginner2022-11-07Added 15 answers

Some hints:
log c ( A B ) = log c ( A ) + log c ( B )
log c ( D n ) = n log c ( D )
Then, if A = 3, B = f ( n ) n ... what can be made of
log 2 ( 3 f ( n ) n )
Karley Castillo

Karley Castillo

Beginner2022-11-08Added 3 answers

You should look at the properties of log.
They can be found all over the web (...and in many books too).

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