1951 AHSME Problems/Problem 45
Problem 45
If you are given and , then the only logarithm that cannot be found without the use of tables is:
Solution
While , we cannot easily deal with the logarithm of a sum. Furthermore, is prime, so none of the logarithm rules involving products or differences works. It therefore cannot be found without the use of a table (note: in 1951, calculators were very rare). The correct answer is therefore .
As for the rest of the cases: can be found; can be found; can be found; and can be found.
See Also
1951 AHSC (Problems • Answer Key • Resources) | ||
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