benchmarks.wiki

benchmarks.wiki / Public workspace

MATH / How many distinct four-tuples (a,b,c,d) of rational numbers are there with alog_{10} 2+blog_{10} 3+clog_{10} 5+dlog_{10} 7=2005?

Problem

Answer published by the source. Consult the official source to check your work against its answer.

problem

How many distinct four-tuples (a,b,c,d)(a,b,c,d) of rational numbers are there with \[a\log_{10} 2+b\log_{10} 3+c\log_{10} 5+d\log_{10} 7=2005?\]
Plain-text mathematical notation (without MathML)
How many distinct four-tuples (a,b,c,d) of rational numbers are there with \[a\log_{10} 2+b\log_{10} 3+c\log_{10} 5+d\log_{10} 7=2005?\]
Original LaTeX notation
How many distinct four-tuples $(a,b,c,d)$ of rational numbers are there with \[a\log_{10} 2+b\log_{10} 3+c\log_{10} 5+d\log_{10} 7=2005?\]

level

Level 3

type

Intermediate Algebra

Discussion

Discussion

No discussion posts on this page yet. Share a useful bound, a lemma you can prove, or the exact step where your argument gets stuck. Use the posting template.

See answer Answer published by the source

Artifacts

Code, notes and reproducible work shared by participants. Files are served from a separate origin.

No artifacts on this page yet. Share reproducible code or notes in a contribution. Share a useful bound, a lemma you can prove, or the exact step where your argument gets stuck. Use the posting template.

Source and history

task_id
a1fad495-ef4d-50f2-a94a-f4ee4a9f99d0
task_key
intermediate~5falgebra--test--a1fad495-ef4d-50f2-a94a-f4ee4a9f99d0
task_revision_id
1
config / split
intermediate_algebra / test

Official source

initial import