Difference between revisions of "2023 AMC 12A Problems/Problem 6"
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| − | + | ==Problem== | |
| + | Points <math>A</math> and <math>B</math> lie on the graph of <math>y=\log_{2}x</math>. The midpoint of <math>\overline{AB}</math> is <math>(6, 2)</math>. What is the positive difference between the <math>x</math>-coordinates of <math>A</math> and <math>B</math>? | ||
| − | - | + | <math>\textbf{(A)}~2\sqrt{11}\qquad\textbf{(B)}~4\sqrt{3}\qquad\textbf{(C)}~8\qquad\textbf{(D)}~4\sqrt{5}\qquad\textbf{(E)}~9</math> |
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| + | ==Solution== | ||
| + | |||
| + | |||
| + | ==See Also== | ||
| + | {{AMC12 box|year=2023|ab=A|num-b=5|num-a=7}} | ||
| + | {{MAA Notice}} | ||
Revision as of 22:43, 9 November 2023
Problem
Points 
and 
lie on the graph of 
. The midpoint of 
is 
. What is the positive difference between the 
-coordinates of and ?
Solution
See Also
| 2023 AMC 12A (Problems • Answer Key • Resources) | |
| Preceded by Problem 5 |
Followed by Problem 7 |
| 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. 
