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?

Algebra ->  Exponents -> 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?       Log On


   

Question 981514: Hi tutors, can you help me answer this? Thanks
Which of these is closest to the number of digits in the number +2%5E1000+ 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(39617) About Me  (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) About Me  (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.