You can only use these numbers once, so not square root or cubed root or anything else.
Good Luck!!
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$\begingroup$ What other rules are there besides no square root, or cubed root? Can we only use basic + - / * ? $\endgroup$– n_plumApr 12, 2017 at 16:50
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$\begingroup$ Anything. It could even be sine or cosine $\endgroup$– Samuel MartinApr 12, 2017 at 16:51
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$\begingroup$ You can only use the numbers once, so because there is no 2 or 3 you can't do square or cubes, but you can use any other operation. $\endgroup$– Samuel MartinApr 12, 2017 at 16:55
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11$\begingroup$ Found it. It's the second number in the list. $\endgroup$– Ian MacDonaldApr 12, 2017 at 17:04
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$\begingroup$ To eliminate Ian's solution: does each of the four numbers have to be used exactly once? $\endgroup$– Rand al'ThorApr 12, 2017 at 17:11
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4 Answers
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$25 * (9-8)^6$ ...........................
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$25\times\lfloor\log(8+6-9)\rfloor$
or
$25+\lfloor\log\log(8+6-9)\rfloor$
answered Apr 12, 2017 at 17:11
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$25^{\left \lfloor log_{9}{6*8} \right \rfloor}$
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$25^{\left \lfloor log_{8}{6*9} \right \rfloor}$
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$25^{\left \lfloor log_{6}{\binom{9}{8}} \right \rfloor}$
.
:)
$ \left | 25, \Phi, ,\left \{ \Phi \right \}, \left \{ \left \{ \Phi \right \} \right \}, \cdots \right | + \left | 6, \Phi, ,\left \{ \Phi \right \}, \left \{ \left \{ \Phi \right \} \right \}, \cdots \right | + \left | 8, \Phi, ,\left \{ \Phi \right \}, \left \{ \left \{ \Phi \right \} \right \}, \cdots \right | + \left | 9, \Phi, ,\left \{ \Phi \right \}, \left \{ \left \{ \Phi \right \} \right \}, \cdots \right | $
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$\begingroup$ @SamuelMartin: A better question is how can anybody not get the answer. $\endgroup$– NameApr 12, 2017 at 17:18
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$\begingroup$ @Name that's not really an explanation, Samuel is just asking how you thought of this $\endgroup$ Apr 12, 2017 at 17:32
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$\begingroup$ IMO once you say "Ah, I'll allow sine and cosine", the whole world of mathematical functions can be thrown at the numbers and nothing can stop you anymore. $\endgroup$ Apr 12, 2017 at 23:05
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$\begingroup$ @Name can you please explain what's going on in your fourth solution? $\endgroup$ Apr 12, 2017 at 23:05
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My answer is to do this which is shown below
25%(6*8*9)
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1$\begingroup$ mod means remainder when divided by, the remainder when 25 is divided by 432 is 25 $\endgroup$ Apr 12, 2017 at 18:21
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$\begingroup$ I think % is only denoted as mod in computer science? $\endgroup$ Apr 12, 2017 at 23:06
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$\begingroup$ Yeah, But I believe its still fine as you still get the ans. $\endgroup$ Apr 12, 2017 at 23:57