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  4. The number N = 6 log10 2 + log10 31, lies between two successive integers whose sum is equal to ,

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Q. The number $N = 6\, log_{10}\, 2 + log_{10} 31$, lies between two successive integers whose sum is equal to ____ ,

Linear Inequalities

Solution:

$N = log_{10} 64 + log_{10} 31 = log_{10} 1984$
$\therefore 3 < N < 4$