I have got a question about formal simple mathematics are these expressions equivalent?
$$ \log^{n} (x/a) $$
and $$ \log^{n} (x) -\log^{n} (a) $$
I know is a dumb question and they are equal only when $ x= a$ but need some help
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6The first expression is $(\log x - \log a )^n$. – cosmo5 Mar 14 '21 at 11:43
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6Might be useful if you actually asked a question. Or maybe do you think ? – Mar 14 '21 at 11:43
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they are not equivalent, and you can see it directly for $n=2$ written as product. you have $=(\log(x)-\log(a))^2$
user577215664
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trula
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Nope. They are not equal. Raised to the power of n in both expressions make the quotient rule not working.
Kav
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