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2023 IOQM/Problem 2

Revision as of 09:53, 2 October 2023 by Andy666 (talk | contribs) (→‎Solution)

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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