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Find the value of \(\cfrac{3+log_{10}343}{2+\cfrac{1}{2}log_{10}\left(\cfrac{49}{4}\right)+\cfrac{1}{2}log_{10}\left(\cfrac{1}{25}\right)}\)

3+log10343/2+1/2 log10(49/4)+1/2 log10(1/25)

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\(\cfrac{3+log_{10}343}{2+\cfrac{1}{2}log_{10}\left(\cfrac{49}{4}\right)+\cfrac{1}{2}log_{10}\left(\cfrac{1}{25}\right)}\)

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