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AMC (AIMO validation set) / https://artofproblemsolving.com/wiki/index.php/2023_AMC_12A_Problems/Problem_19 / What is the product of all solutions to the equation

Problem

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problem

What is the product of all solutions to the equation

\log_{7x}2023\cdot \log_{289x}2023=\log_{2023x}2023

Plain-text mathematical notation (without MathML)

What is the product of all solutions to the equation
log_(7x)2023⋅log_(289x)2023=log_(2023x)2023

Original LaTeX notation

What is the product of all solutions to the equation
\[\log_{7x}2023\cdot \log_{289x}2023=\log_{2023x}2023\]

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Source and history

upstream_id / Original problem ID: https://artofproblemsolving.com/wiki/index.php/2023_AMC_12A_Problems/Problem_19
task_id: 223ff5f2-8306-5f7d-a47d-f67a721e11ca
task_key: default--train--https~3a~2f~2fartofproblemsolving~2ecom~2fwiki~2findex~2ephp~2f2023~5fAMC~5f12A~5fProblems~2fProblem~5f19
task_revision_id: 2
config / split: default / train

Official source

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