How Many Digits Does 2^1000 Have?

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SUMMARY

The number of digits in \(2^{1000}\) can be calculated using the formula \( \text{digits} = \lfloor \log_{10}(n) \rfloor + 1 \). Given that \( \log_{10}(2) \approx 0.301\), the calculation yields \( \lfloor 1000 \times 0.301 \rfloor + 1 = 302\). This confirms that \(2^{1000}\) contains 302 digits, as established in the forum discussion.

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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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