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What if you have log base 3 to power of 5 plus X? Does that mean you can expand that logarithm?

Log3(5+X)
 
I was wondering because Log3(5*X) would be expanded to Log35 + Log3X
 
Some kind of explanation would be awesome, and thank you in advance!!
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1 Answer

The basic notion of log  function is
 
Y =aX
 
X = LogaY
 
So in case of   
 
 
  Log3 (5 +x) =y
 
 (5 + X) = 3Y
 
 Log ( 5 X ) = log 5 + log X
 
 
However:
 
   Log ( A + B ) ≠ Log A + Log B