Difference between revisions of "AoPS Wiki:Problem of the Day/September 8, 2011"

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==Problem==
 
Find the sum of all real <math>x</math> such that <math>(2^x - 4)^3 + (4^x - 2)^3 = (4^x + 2^x - 6)^3</math>.
 
Find the sum of all real <math>x</math> such that <math>(2^x - 4)^3 + (4^x - 2)^3 = (4^x + 2^x - 6)^3</math>.
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==Solution==
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See [[AoPSWiki talk:Problem of the Day/September 8, 2011|here]].
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<noinclude>[[category:Problem of the Day]]</noinclude>
 
<noinclude>[[category:Problem of the Day]]</noinclude>

Latest revision as of 16:56, 8 September 2011

Problem

Find the sum of all real $x$ such that $(2^x - 4)^3 + (4^x - 2)^3 = (4^x + 2^x - 6)^3$.

Solution

See here.