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\log_{2.3}\left(\frac{529000}{6436343}\right)
Expand \frac{5.29}{64.36343} by multiplying both numerator and the denominator by 100000.
\log_{2.3}\left(\frac{1000}{12167}\right)
Reduce the fraction \frac{529000}{6436343} to lowest terms by extracting and canceling out 529.
-3
The base 2.3 logarithm of \frac{1000}{12167} is -3.