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Math Help - How many decimal digits to expect in the number 2^40?

  1. #1
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    How many decimal digits to expect in the number 2^40?

    ln2=.7 and ln10=2.3
    Use these approximations and a indirect argument using only arithmetic to explain how many decimal digits to expect in the number 2^40. Are you correct?
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  2. #2
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    Re: How many decimal digits to expect in the number 2^40?

    Shot in the dark. Maybe a nice proportion? 40*0.7 = x*2.3, where x is the number of base 10 digits.

    You present the argument.
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