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\log_{10}\left(\frac{\log_{10}\left(0\right)}{\log_{10}\left(0\times 7\right)}\right)
Multiply 0 and 1 to get 0.
\log_{10}\left(\frac{\log_{10}\left(0\right)}{\log_{10}\left(0\right)}\right)
Multiply 0 and 7 to get 0.
\log_{10}\left(1\right)
Divide \log_{10}\left(0\right) by \log_{10}\left(0\right) to get 1.
0
The base 10 logarithm of 1 is 0.