LN(z) is the principal natural (Napierian) logarithm of the expression z.  For example, LN(ê^3) simplifies to 3.  If z is a complex expression, then the imaginary part of LN(z) lies in the interval (-π, π].


LOG(z, w) is the logarithm of z to the base w.  Thus, LOG(z, 10) is the common logarithm of z.  For example, LOG(8, 2) simplifies to 3.  LOG(z, w) simplifies to LN(z)/LN(w).  LOG(z) simplifies to LN(z).


Note that LN and LOG are well-defined for negative and even complex arguments.  For example, LN(-3) simplifies to LN(3) + π·i.


Use the Logarithm fieldLogarithm_field of the Options > Mode Settings > Simplification command19_L5FP to control the transformations used to simplify expressions involving logarithms.


Other Built-in Functions and ConstantsBuilt_in_Functions_and_Constants 

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