Difference between revisions of "2023 AMC 12A Problems/Problem 4"
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==Problem== | ==Problem== | ||
How many digits are in the base-ten representation of <math>8^5 \cdot 5^{10} \cdot 15^5</math>? | How many digits are in the base-ten representation of <math>8^5 \cdot 5^{10} \cdot 15^5</math>? |
Revision as of 09:55, 10 November 2023
- The following problem is from both the 2022 AMC 10A #5 and 2022 AMC 12A #4, so both problems redirect to this page.
Problem
How many digits are in the base-ten representation of ?
Solution 1
Prime factorizing this gives us . gives us digits, and gives us digits.
~zhenghua
See Also
2023 AMC 10A (Problems • Answer Key • Resources) | ||
Preceded by Problem 4 |
Followed by Problem 6 | |
1 • 2 • 3 • 4 • 5 • 6 • 7 • 8 • 9 • 10 • 11 • 12 • 13 • 14 • 15 • 16 • 17 • 18 • 19 • 20 • 21 • 22 • 23 • 24 • 25 | ||
All AMC 10 Problems and Solutions |
2023 AMC 12A (Problems • Answer Key • Resources) | |
Preceded by Problem 3 |
Followed by Problem 5 |
1 • 2 • 3 • 4 • 5 • 6 • 7 • 8 • 9 • 10 • 11 • 12 • 13 • 14 • 15 • 16 • 17 • 18 • 19 • 20 • 21 • 22 • 23 • 24 • 25 | |
All AMC 12 Problems and Solutions |
The problems on this page are copyrighted by the Mathematical Association of America's American Mathematics Competitions.