Let P denotes number of digits in 2^120 then find the value of P-31 (where log₁02=0.3010)
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the tenth Fibonacci number is Fib(10) = 55. The sum of its digits is 5+5 or 10 and that is also the index number of 55 (10-th in ...
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log2000²⁰⁰⁰ =2000log2000=2000log(2×10³)
=2000[log2+3log10]
=2000[0.30103+(3×1)]
=6602.06
x=6602.06
When we take log with base 10, integer in answer shows one less than number of digits in number.
So, number of digits in number 2000²⁰⁰⁰=6602+1=6603
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