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\log_{25}\left(\log_{32}\left(2\right)\right)
The base 6 logarithm of 36 is 2.
\log_{25}\left(\frac{1}{5}\right)
The base 32 logarithm of 2 is \frac{1}{5}.
-\frac{1}{2}
The base 25 logarithm of \frac{1}{5} is -\frac{1}{2}.