### Logarithm, log question, Answers. Math Prep. Ascent MBA TANCET, XAT, CAT, PGSEM Preparation, Correspondence course

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# Quantitative Reasoning : Logarithms

## Question

If log102 = 0.3010, then find how many digits are contained in the number 256?
1. 15
2. 16
3. 17
4. 19

Choice (3). 17 digits

## Note:

To find the number of digits contained in the number, increment the characteristic (integral part) of the logarithmic value of the number by one.

Taking log of the given number, we get log10256 = 56* log102 = 56 * 0.3010 = 16.85.

In this case, the characteristic (integral part) = 16.

Therefore, number of digits contained in the number 256 is 16 + 1 = 17.

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