Art of Problem Solving

2006 Cyprus MO/Lyceum/Problem 5: Difference between revisions

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==Problem==
==Problem==
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If both integers <math>\alpha,\beta</math> are bigger than 1 and satisfy <math>a^7=b^8</math>, then the minimum value of <math>\alpha+\beta</math> is
 
A. <math>384</math>
 
B. <math>2</math>
 
C.  <math>15</math>
 
D. <math>56</math>
 
E. <math>512</math>


==Solution==
==Solution==

Revision as of 21:15, 17 October 2007

Problem

If both integers $\alpha,\beta$ are bigger than 1 and satisfy $a^7=b^8$, then the minimum value of $\alpha+\beta$ is

A. $384$

B. $2$

C. $15$

D. $56$

E. $512$

Solution

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See also

2006 Cyprus MO, Lyceum (Problems)
Preceded by
Problem 4
Followed by
Problem 6
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