Talk:Rabbit Algebra
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The claim that x = 14 is the only solution making log<sub>x</sub>14 an integer is extremely false and I don't know why people insist on keeping that version of the article. Check it out, find a good calculator that can evaluate log<sub>b(n)</sub>14 for b(n) = 14<sup>1/n</sup> for any integer non-zero integer n. In fact, (14<sup>1/n</sup>)<sup>n</sup> = 14<sup>n/n</sup> = 14<sup>1</sup> = 14 which tells us that log<sub>b(n)</sub>14 = n for b(n) = 14<sup>1/n</sup>. | The claim that x = 14 is the only solution making log<sub>x</sub>14 an integer is extremely false and I don't know why people insist on keeping that version of the article. Check it out, find a good calculator that can evaluate log<sub>b(n)</sub>14 for b(n) = 14<sup>1/n</sup> for any integer non-zero integer n. In fact, (14<sup>1/n</sup>)<sup>n</sup> = 14<sup>n/n</sup> = 14<sup>1</sup> = 14 which tells us that log<sub>b(n)</sub>14 = n for b(n) = 14<sup>1/n</sup>. | ||
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| + | x=14 is the only integer value of x that yields an integer result. No one said x had to be an integer -- [[User:tomstiff|tomstiff]] 14:44, 9 Jun 2005 (UTC) | ||
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| + | You don't even need a calculator to verify. The log of a number is the power to which the base much be raised to equal the number. If n=2, the base b(n) is the square root of 14. The power to which *that* number much be raised to equal 14 is 2. The same applies for all integer values of n. -- 14:44, 9 Jun 2005 (UTC) | ||
Revision as of 14:44, 9 June 2005
X = 9 - M.J
Yup. And you have 3 mans.--Tiggera 17:38, 28 Nov 2004 (MST)
False Claims
The claim that x = 14 is the only solution making logx14 an integer is extremely false and I don't know why people insist on keeping that version of the article. Check it out, find a good calculator that can evaluate logb(n)14 for b(n) = 141/n for any integer non-zero integer n. In fact, (141/n)n = 14n/n = 141 = 14 which tells us that logb(n)14 = n for b(n) = 141/n.
x=14 is the only integer value of x that yields an integer result. No one said x had to be an integer -- tomstiff 14:44, 9 Jun 2005 (UTC)
You don't even need a calculator to verify. The log of a number is the power to which the base much be raised to equal the number. If n=2, the base b(n) is the square root of 14. The power to which *that* number much be raised to equal 14 is 2. The same applies for all integer values of n. -- 14:44, 9 Jun 2005 (UTC)
