MHB How Many Digits Does 2^1000 Have?

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The number of digits in \(2^{1000}\) can be calculated using the formula for the number of digits in a number, which is given by \( \lfloor \log_{10}(n) \rfloor + 1 \). With \( \log_{10}(2) \approx 0.301\), the calculation shows that \(2^{1000}\) contains 302 digits. Participants in the discussion confirmed this result and expressed satisfaction with the solution. The mathematical approach was appreciated for its clarity and efficiency. Overall, the challenge was successfully resolved with a straightforward calculation.
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Thought this challenge was worth asking here :D

Using mathematics, how many digits does the number $$2^{1000} $$contain?
 
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Farmtalk said:
Thought this challenge was worth asking here :D

Using mathematics, how many digits does the number $$2^{1000} $$contain?

Because is $\log 2 \sim .301$, then $2^{1000}$ has 302 digits... Kind regards$\chi$ $\sigma$
 
Nice! I thought it would take a little longer to figure that out! Correct answer!:D
 

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