SOLUTION: Hi tutors, can you help me answer this? Thanks Which of these is closest to the number of digits in the number {{{ 2^1000 }}} when it is written out in full with no indices?

Question 981514: Hi tutors, can you help me answer this? Thanks
Which of these is closest to the number of digits in the number when it is written out in full with no indices?
A. 100
B. 300
C. 500
D. 1000
Found 2 solutions by josgarithmetic, jim_thompson5910:
Answer by josgarithmetic(39618) (Show Source): You can put this solution on YOUR website!
--removed incorrect answer--

The answer here was only approximately true - not completely true.
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
log(2^1000) = 1000*log(2) = 1000*0.30103 = 301.03

The closest number is 300, which is the final answer. The number 2^1000 actually has 302 digits, so it's pretty close.
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