Logarithm-2

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Find the number of digits in 212 x 37 when written in the usual form.

Solution: Let x = 212 x 37

Log x = log (212 x 37) = log212 + log37

= 12 log 2 + 7 log 3

= 12 (0.3010) + 7(0.4771)

= 6.9517

Since, the characteristic of log x is 6, the number of digits in x i.e. 212 x 37 is 7

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