logarithms - Maple Help
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combine/ln

combine logarithmic terms

 

Calling Sequence

Parameters

Description

Examples

Calling Sequence

combine(f, ln)

combine(f, ln, t)

combine(f, ln, t, m)

Parameters

f

-

any expression

t

-

type

m

-

the name 'symbolic'

Description

• 

In the case combine(f, ln), expressions involving sums of logarithms are combined by applying the following transformations:

  

where the coefficient  must be a rational constant and the argument of  and  must be in the region where this transformation is valid, unless 'symbolic' is specified.

• 

In the case combine(f, ln, t), the first transformation is done if the coefficient  is of type t, and the third if the coefficient -1 is of type t. Often it is useful to restrict the transformation to be done only if  is an integer instead of a rational. Also, by specifying the type anything, the transformation is done in all valid cases, provided of course that the coefficient  itself is not a logarithm.

Examples

(1)

(2)

(3)

(4)

(5)

(6)

(7)

See Also

additionally

assume

combine

ln

 


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