Difference between revisions of "2020 AIME I Problems"
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==Problem 2== | ==Problem 2== | ||
− | + | There is a unique positive real number <math>x</math> such that the three numbers <math>\log_8(2x),\log_4x,</math> and <math>\log_2x,</math> in that order, form a geometric progression with positive common ratio. The number <math>x</math> can be written as <math>\tfrac{m}{n},</math> where <math>m</math> and <math>n</math> are relatively prime positive integers. Find <math>m+n.</math> | |
Revision as of 15:29, 12 March 2020
2020 AIME I (Answer Key) | AoPS Contest Collections • PDF | ||
Instructions
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Contents
[hide]Problem 1
Problem 2
There is a unique positive real number such that the three numbers and in that order, form a geometric progression with positive common ratio. The number can be written as where and are relatively prime positive integers. Find
Problem 3
Problem 4
Problem 5
Problem 6
Problem 7
Problem 8
Problem 9
Problem 10
Problem 11
Problem 12
Problem 13
Problem 14
Problem 15
2020 AIME I (Problems • Answer Key • Resources) | ||
Preceded by 2019 AIME II |
Followed by 2020 AIME II | |
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All AIME Problems and Solutions |
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