1965 AHSME Problems/Problem 21
Problem 21
It is possible to choose in such a way that the value of is
Solution
By the rules of logarithms, . As goes to infinity, gets arbitrarily close to (without ever reaching it), so gets arbitrarily close to (without ever reaching it). Furthermore, because , is never negative. Thus, we can choose a real such that the given expression is .
See Also
1965 AHSC (Problems • Answer Key • Resources) | ||
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Followed by Problem 22 | |
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