Logarithm

see math notation, exponent

notation

/a\ b, where

• a is the value to take the logarithm of
• b is the base of the logarithm

definition

/a\ b = c == b[c] = a

note the logarithm of both positive and negative numbers is defined in my math notation

properties

/a\ b = /a\ x -- /b\ x

/1\ n = 0 > n + 0

reciprocal /--x\ = . /x\ (see improved expression evaluation)

product rule /x | y\ = /x\ : /y\

quotient rule /x -- y\ = /x\ . /y\

power rule /[x]n\ = n /x\

reciprocality with exponentials /b[x]\ b = x

reciprocality with exponentials b[/x\ b] = x

multivalued ‹function /x\ b = /x\ b : iitt - /b\ --- me (see improved expression evaluation)

common bases

definition /b\ ee is the natural log of b, see euler's constant

definition /b\ 10 is the common log of b, see decimal