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young_gun
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If x=100^100, x^x=10^k, k= 01 Oct 2007, 13:56
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If x=100^100, x^x=10^k, k=?



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If x=100^100, x^x=10^k, k= 01 Oct 2007, 14:07
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K=100000

x^x=100^100^100

=100^10000

=10^100000

so k=100000
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If x=100^100, x^x=10^k, k= 01 Oct 2007, 14:35
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k = 2 * 10^202

how the hell did you get 10 000 lol

x^x = (100^100)^(100^100)
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IrinaOK
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If x=100^100, x^x=10^k, k= 01 Oct 2007, 14:38
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young_gun
If x=100^100, x^x=10^k, k=?
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X=100^100=10^2*100=10^200

X^X=10^200^(10^200)=10^(200*10^200)=10^(2*10^2*10^200)=
10^ 2*10^202

10^ 2*10^202=10^K

K=2*10^202
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If x=100^100, x^x=10^k, k= 01 Oct 2007, 14:42
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StartupAddict
k = 2 * 10^202

how the hell did you get 10 000 lol

x^x = (100^100)^(100^100)
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arghhh again a careless mistake..its already 3am..my brain is completely dead! i better go to sleep..
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If x=100^100, x^x=10^k, k= 01 Oct 2007, 15:42
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young_gun
If x=100^100, x^x=10^k, k=?
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x=100^100 ----> x=10^200
x^x=10^k -----> x=10^(k/x)

x=x

10^(k/x)=10^200, drop the bases

k/x=200
k=200*x ----->k=2*10^2*10^200 -----> k=2*10^202=2*100^101
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If x=100^100, x^x=10^k, k= 02 Oct 2007, 12:23
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Hi,

Can you explain how you got from x^x=10^k -----> x=10^(k/x)?
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If x=100^100, x^x=10^k, k= 02 Oct 2007, 13:15
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slsu
Hi,

Can you explain how you got from x^x=10^k -----> x=10^(k/x)?
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Sure, it's just a way to isolate x.

x^(x)(1/x)=x, apply the 1/x power to both sides...
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If x=100^100, x^x=10^k, k= 02 Oct 2007, 13:19
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slsu
Hi,

Can you explain how you got from x^x=10^k -----> x=10^(k/x)?
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x=10^(k/x)
x=10^200
x=x
10^(k/x)=10^200
drop the bases

k/x=200
k=200x then bring x back



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