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Difference between revisions of "2023 IOQM/Problem 2"

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==Solution==
 
==Solution==
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<cmath>\lbrace(a.b)\in N: 2 \leq a,b \leq2023,\:\: \log_{a}{b}+6\log_{b}{a}=5\rbra</cmath>ce<cmath>
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</cmath>assume \log_{a}{b}=x\$$

Revision as of 09:53, 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

\[\lbrace(a.b)\in N: 2 \leq a,b \leq2023,\:\: \log_{a}{b}+6\log_{b}{a}=5\rbra\] (Error compiling LaTeX. Unknown error_msg)

ce\[\]assume \log_{a}{b}=x$$

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