Help with arithmetic in calc class please

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Given the approximate values: ln(2)=0.7 and ln(10)=2.3
Use these approximations and an indirect argument using only arithmetic to explain how many decimal digits to expect in the number 2^40 and how do you know your correct?

Well i know that we'll know if we are correct based on the decimal digits the calculator provides but how do I go about solving for the number of digits??I would greatly appreciate any help thankyou
 
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i got it, nevermind