August 19th, 2017, 07:34 AM  #1 
Senior Member Joined: Nov 2011 Posts: 175 Thanks: 2  logarithm
Is logarithm a arithmetic operation?

August 19th, 2017, 08:31 AM  #2 
Math Team Joined: Jul 2011 From: Texas Posts: 2,701 Thanks: 1359 
As far as I know, addition, subtraction, multiplication, and division are arithmetic operations. a logarithm is the inverse of an exponential operation, i.e. $y = a^x \implies x = \log_a{y}$ 
August 19th, 2017, 08:45 AM  #3 
Math Team Joined: Jul 2011 From: North America, 42nd parallel Posts: 3,372 Thanks: 233 
The basic operations of arithmetic are addition , subtraction , multiplication and division (as skeeter has pointed out). These are called binary operations because they are done between 2 numbers. A logarithm is the exponent upon the base. $log_{a}b = c \iff a^c = b $ I suppose one can define $ \ \ \ a \circ b = a^b $ but this is a more advanced binary abstraction. if your question is elementary then a logarithm is not an arithmetic operation. If you are asking how logarithms are computed , they are computed using the basic operations of arithmetic (except in very easy special cases where the answer is obvious by inspection) Last edited by agentredlum; August 19th, 2017 at 08:48 AM. 

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