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2\log_{10}\left(2\right)=\log_{10}\left(2\right)+\log_{10}\left(2\right)
Subtract 4 from 6 to get 2.
2\log_{10}\left(2\right)=2\log_{10}\left(2\right)
Combine \log_{10}\left(2\right) and \log_{10}\left(2\right) to get 2\log_{10}\left(2\right).
2\log_{10}\left(2\right)-2\log_{10}\left(2\right)=0
Subtract 2\log_{10}\left(2\right) from both sides.
0=0
Combine 2\log_{10}\left(2\right) and -2\log_{10}\left(2\right) to get 0.
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Compare 0 and 0.