1962 AMC 12 Problem 28
Attempt Problem 28 of the 1962 AMC 12 below, then check your answer against the professionally curated solution from LIVE by Po-Shen Loh. You can also try the full timed exam, view all 1962 AMC 12 solutions, or check the answer key.
All problems are used with official legal permission of the Mathematical Association of America (MAA).
28.
The set of -values satisfying the equation consists of:
only
only
only
or only
more than two real numbers
Answer: D
Small hint:
The logarithm requires ; set
Big hint:
Take base- logarithms to obtain a quadratic in
Solution:
Set so Taking base- logarithms gives Hence so or
Thus, the correct answer is D.
Problem 28 in other years
- 1950 AMC 12
- 1951 AMC 12
- 1952 AMC 12
- 1953 AMC 12
- 1954 AMC 12
- 1955 AMC 12
- 1956 AMC 12
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- 1958 AMC 12
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- 1961 AMC 12
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