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Search: Posts Made By: Dr Sardonicus
Forum: Homework Help 2019-09-29, 14:22
Replies: 13
Views: 6,394
Posted By Dr Sardonicus
Your application to the square root of 64 is...

Your application to the square root of 64 is perfectly correct.

The (natural) log of a positive real number x is defined as

\log(x)\;=\;\int_{1}^{x}dt/t

which is perfectly well-defined. ...
Forum: Homework Help 2019-09-29, 02:00
Replies: 13
Views: 6,394
Posted By Dr Sardonicus
The fundamental issue with "wrong square root"...

The fundamental issue with "wrong square root" difficulties is, in order to define non-integer powers, you need a logarithm. With a logarithm in hand, you can say

a^{k}\;=\;exp{k\log(a)}

for...
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