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I want to have maple simplify 8ln(6) - 5ln(3) + 10ln(2) - 10ln(5) to ln(7077888/9765625). That is, ln(m/n) where m and n are positive integers. And I want the solution to work for similar expressions with many more terms.

I have tried combinations of expand, simplify, simplify(,ln), and combine. Combine almost works, but produces 40 ln(a/b) where a is the product of fractional powers of integers.

I can do this in sagemath, but would appreciate help doing this in maple.

Solution: What I really care about are the integers m,n. I don't understand why the following works (or is necessary):

a := 8ln(6) - 5ln(3) + 10ln(2) - 10ln(5); a := 8 ln(6) - 5 ln(3) + 10 ln(2) - 10 ln(5)

combine(exp(%)); 7077888 ------- 9765625

acer
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Ted Cox
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