Difference between revisions of "2023 IOQM/Problem 2"

(Created page with "==Problem== Find the number of elements in the set <math>\lbrace(a.b)\in N: 2 \leq a,b \leq2023,\:\: \log_{a}{b}+6\log_{b}{a}=5\rbrace</math> ==Solution==")
 
(Problem)
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Find the number of elements in the set
 
Find the number of elements in the set
  
<math>\lbrace(a.b)\in N: 2 \leq a,b \leq2023,\:\: \log_{a}{b}+6\log_{b}{a}=5\rbrace</math>
+
<cmath>\lbrace(a.b)\in N: 2 \leq a,b \leq2023,\:\: \log_{a}{b}+6\log_{b}{a}=5\rbrace</cmath>
  
 
==Solution==
 
==Solution==

Revision as of 10:09, 2 October 2023

Problem

Find the number of elements in the set

\[\lbrace(a.b)\in N: 2 \leq a,b \leq2023,\:\: \log_{a}{b}+6\log_{b}{a}=5\rbrace\]

Solution