What is the logcombine function in Sympy

This recipe explains what is the logcombine function in Sympy

Recipe Objective - What is the logcombine function in Sympy?

The logcombine function takes logarithms and combines them according to the following rules:

1. log (p) + log (q) = log (p * q) if both are positive
2. r * log (p) = log (p ** r) if p is positive and r is real

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Example:

# Example 1:

# Importing libraries
from sympy import logcombine,pprint, log
from sympy.abc import p,q

# Defining some expression
expression=(log(p)+log(q))

# Printing expression
pprint(expression)

# logcombine function
logcombine(expression, force=True)

Output - 
log(p) + log(q)
log(𝑝𝑞)

# Example 2:

# Importing libraries
from sympy import logcombine,pprint, log
from sympy.abc import p,q,r

# Defining some expression
expression=(r*log(p)+log(q))

# Printing expression
pprint(expression)

# logcombine function
pprint(logcombine(expression, force=True))

Output - 
r⋅log(p) + log(q)

     r  
log(p .q)

In this way, we can use the logcombine function in sympy.

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