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johnmerz
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johnmerz
537 posts
Shepherd

I created this thread for anyone that is interested in discussing mathematics. I don't think that this thread is a [dup] and if it is, it was not intended to be one.
The first thing I will say is that I know the value of:
e to 12 digits: 2.718281828459
pi to 25 digits: 3.1415926535897932384626433
I hope that this thread will be a successful one.

  • 62 Replies
Squidbears
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Squidbears
626 posts
Nomad

irrational numbers cant be expressed as a fraction... 1/3 is rational and it goes on forever

Patrick2011
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Patrick2011
12,321 posts
Treasurer

Can anyone solve the following equation:

logx=100

What I mean is:

The common log of x is 100.

ninjaassasin1234
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ninjaassasin1234
133 posts
Nomad

Math makes me vomit...

Squidbears
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Squidbears
626 posts
Nomad

logx=100 when 10^100=x i dont know what 10^100 is though

Patrick2011
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Patrick2011
12,321 posts
Treasurer

X is the antilog of 100, am I not correct?


There's no antilog. The answer to logx=100 is x=googol.
Squidbears
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Squidbears
626 posts
Nomad

so i'm assuming a googol is 10^100

Patrick2011
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Patrick2011
12,321 posts
Treasurer

so i'm assuming a googol is 10^100


That is correct. Also, 10^googol is a googolplex.
Squidbears
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Squidbears
626 posts
Nomad

log^-1 is the inverse of log... which would be 10^100
log base a of b=c when a^c=b
our problem just had log written.. aka a common log which means it's base 10

Patrick2011
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Patrick2011
12,321 posts
Treasurer

Then why can I use the antilog button in my calculator? Antilog is basically log^-1, whereas log would be log^1.


Your calculator must be weird. I have a TI-83 graphing calculator, and the only buttons relating to logs are LOG (common log) and LN (natural log).
master565
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master565
4,107 posts
Nomad

1/3 is rational and it goes on forever


I think there might be debate over wether numbers like 1/3 1/6 ect are irrational or rational (it might be how you do the devision)
Patrick2011
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Patrick2011
12,321 posts
Treasurer

I think there might be debate over wether numbers like 1/3 1/6 ect are irrational or rational (it might be how you do the devision)


A rational number is a ratio of two integers. Since 1 and 3 are both integers, 1/3 is a rational number.
Squidbears
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Squidbears
626 posts
Nomad

there isnt a debate... 1/3 is rational. if you can express it as a fraction it's rational

loloynage2
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loloynage2
4,210 posts
Peasant

rrational numbers are (in latents terms) numbers that go on forever, and Pi goes on forever.

Circular logic. I want to know why it has no pattern. Why are the numbers after pi what they are.
Squidbears
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Squidbears
626 posts
Nomad

pi is just the ratio of a a circle's circumference to its diameter... its irrational the same reason the square root of 2 is

MRWalker82
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MRWalker82
4,005 posts
Shepherd

Circular logic. I want to know why it has no pattern. Why are the numbers after pi what they are.


Basically it boils down to 'that is the nature of the relationship between the circumference and diameter of a circle'. Pi is merely a byproduct of relating these two things, and any attempts at understanding pi must first be based in the understanding of a perfect circle.

As far as the pattern part, it's not so much that pi has no pattern, but that it does not repeat in any way which can allow it to be accurately simplified.
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