Difference between revisions of "2010 AMC 12A Problems/Problem 11"
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Since we are looking for the base of the logarithm, our answer is <math>\boxed{\textbf{(C)}\ \frac{8}{7}}</math>. | Since we are looking for the base of the logarithm, our answer is <math>\boxed{\textbf{(C)}\ \frac{8}{7}}</math>. | ||
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| + | ==Video Solution1 (Clever Manipulations)== | ||
| + | https://youtu.be/xGeL7864QLM | ||
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| + | ~Education, the Study of Everything | ||
== See also == | == See also == | ||
Revision as of 19:48, 27 October 2022
Problem
The solution of the equation 
can be expressed in the form 
. What is 
?
Solution
This problem is quickly solved with knowledge of the laws of exponents and logarithms.
Since we are looking for the base of the logarithm, our answer is 
.
Video Solution1 (Clever Manipulations)
~Education, the Study of Everything
See also
| 2010 AMC 12A (Problems • Answer Key • Resources) | |
| Preceded by Problem 10 |
Followed by Problem 12 |
| 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. 
