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No. of digits in this number...


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6 replies to this topic

#1 skale

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Posted 22 July 2007 - 09:39 PM

ok, this might be a sitter (or a lifetime effort ) to few:

what is the number of digits in the number

345893456 ^ 345893456 (read as the number raised to itself)

oh yeah, feel free to use ur calculators, super-computers, grids, etc..
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#2 Aaron Burr

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Posted 02 August 2007 - 01:11 AM

Do you know the answer?

The 50-50-90 rule: Anytime you have a 50-50 chance of getting something right, there's a 90% probability you'll get it wrong
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#3 skale

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Posted 02 August 2007 - 01:39 AM

There's hardly any activity out here! C'mon ppl give it a shot, its not that difficult as it looks...

Do you know the answer?

The 50-50-90 rule: Anytime you have a 50-50 chance of getting something right, there's a 90% probability you'll get it wrong



& yes, i was given this problem recently and was given ten min's to figure it out, thankfully it struck in the 1st min...

Number of digits # 10 ^ 2953564278

Now, here's the tough / easy part given the answer: Explain the reasoning
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#4 imtcb

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Posted 02 August 2007 - 04:36 AM

It took me a little while, but once I got it I see how someone else could get it much quicker than I did. I would have been pushing the 10 minute time limit.

345893456 * log(345893456)
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#5 skale

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Posted 02 August 2007 - 05:37 PM

It took me a little while, but once I got it I see how someone else could get it much quicker than I did. I would have been pushing the 10 minute time limit.

345893456 * log(345893456)



Bingo!!
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#6 unreality

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Posted 03 August 2007 - 01:16 AM

i dont understand... using Log on the second number changes the equation, doesnt it?
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#7 skale

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Posted 03 August 2007 - 04:22 AM

i dont understand... using Log on the second number changes the equation, doesnt it?



Of course it does, hence the 10 ^ ____ in the answer!

y = x^x (read raised to)

log y = x * log x (log to the base 10)

Now go back to logarithmic basics and think!
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