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A logarithm to base 0 evaluates to 0, though its own condition says it has no value there:
2.6.0 and master
"log(0, 2)".ToEntity().Evaled
0
"log(x, 2)".ToEntity().DomainCondition
not x = 0 and not x = 1
ln(2)/ln(0) is ln(2)/(-oo), which is 0 as a limit, but 0 is not a base: no power of 0 is 2. Logf's condition is right, and evaluation answers outside it. log(1, 2) is NaN, as it should be.
Activity
A logarithm to base 0 has no value
The logarithm of 1 excludes the base 0
A logarithm to base 0 has no value (ASC-Community#2258)