1950 AHSME Problems/Problem 26
Contents
[hide]Problem
If , then
Solution 1
We have . Substituting, we find . Using , the left side becomes . Because , .
Solution 2
adding to both sides: using the logarithm property: rewriting in exponential notation: ~Vndom
Solution 3
More simply, we can just simulate the problem, if we have , that means the right side must be 1, so the only way we can achieve that with distinct , is if , and . With this we can look through the different answer choices substituting in , , and , and find that is the only one that satisfies the question.
~Shadow-18
See Also
1950 AHSC (Problems • Answer Key • Resources) | ||
Preceded by Problem 25 |
Followed by Problem 27 | |
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