1969 AHSME Problems/Problem 29
Problem
If and , a relation between and is:
Solution
Plug in and test each expression (if the relation works, then both sides are equal). After testing, options A, B, and D are out, but for option C, both sides are equal. To check that C is a valid option, substitute the values of and and use exponent properties. In the second equation, the exponent can be rewritten as . Since , the exponent can be simplified as . Since the base and exponent of both and are the same, we can confirm that .
See Also
1969 AHSC (Problems • Answer Key • Resources) | ||
Preceded by Problem 28 |
Followed by Problem 30 | |
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