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> And there's just 1 logarithm, which has the property log(x^y) = y log(x). You don't need the ones with a different base. Maybe I misunderstood your comment b
by quietbritishjim 6y ago
> And there's just 1 logarithm, which has the property log(x^y) = y log(x). You don't need the ones with a different base.
Maybe I misunderstood your comment but it really sounds like you're saying that only the natural logarithm has this property, but in fact it's true with every base:
log(x^y; b) = log(x^y)/log(b) = y log(x) / log(b) = y log(x; b)
- OJFord 6y agoThe comma is important. Or replace 'which' with 'and it'.
- quietbritishjim 6y agoRejigging their text slightly, what they said was "There's only one useful logarithm. It has this property. It's the only useful logarithm." Yes I noticed their use of a comma (and "which" rather than "that"), in fact that's why I added the disclaimer at the start of my comment about possibly misunderstanding theirs. But sandwiching a mention of that property in the middle of making the same point twice only makes sense if it's a supporting argument.