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AMC (AIMO validation set) / https://artofproblemsolving.com/wiki/index.php/2022_AMC_12A_Problems/Problem_14 / What is the value of (log5)³+(log20)³+(log8)(log0.25) where log denotes the base-ten logarithm?

Problem

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problem

What is the value of

(\log 5)^{3}+(\log 20)^{3}+(\log 8)(\log 0.25)

where

\log

denotes the base-ten logarithm?

Plain-text mathematical notation (without MathML)

What is the value of (log5)³+(log20)³+(log8)(log0.25) where log denotes the base-ten logarithm?

Original LaTeX notation

What is the value of \[(\log 5)^{3}+(\log 20)^{3}+(\log 8)(\log 0.25)\] where $\log$ denotes the base-ten logarithm?

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Source and history

upstream_id / Original problem ID: https://artofproblemsolving.com/wiki/index.php/2022_AMC_12A_Problems/Problem_14
task_id: 62fbc1be-7aee-50ad-895e-29567c217a13
task_key: default--train--https~3a~2f~2fartofproblemsolving~2ecom~2fwiki~2findex~2ephp~2f2022~5fAMC~5f12A~5fProblems~2fProblem~5f14
task_revision_id: 2
config / split: default / train

Official source

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