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If Iog102 = 0.301, the number digits in 253 is?
  • a)
    15
  • b)
    17
  • c)
    16
  • d)
    cannot be determined
Correct answer is option 'C'. Can you explain this answer?
Most Upvoted Answer
If Iog102 = 0.301, the number digits in 253 is?a)15b)17c)16d)cannot b...
We know that, log1010 = 1; log10100 = 2, and so on. Thus, log1050 will be 1.xx and by induction we can say that when log of a number is 1.xx, the number will have 1 trailing zero.
Let 253 = a. So 53 log 2 = log a.
log10a = 53 x 0.301 = 15.953 Thus, a has 16 digits.
Hence, the correct option is (c).
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If Iog102 = 0.301, the number digits in 253 is?a)15b)17c)16d)cannot be determinedCorrect answer is option 'C'. Can you explain this answer?
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