Given log 10 2 = 0.30103, log 10 3 = 0.47712. Find the number of digit, in 3 12 x 2 8?

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Let N = 312 x 28 ⇒ log N = 12 x log3 + 8 x log 2 ⇒ log N = 12 x 0.47712 + 8 x 0.30103 ⇒ log N = 8.13368 ∴ No.of digits = 8 + 1 = 9

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