Difference between revisions of "1968 AHSME Problems/Problem 23"
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From the given we have | From the given we have | ||
<cmath>\log(x+3)+\log(x-1)=\log(x^2-2x-3)</cmath> | <cmath>\log(x+3)+\log(x-1)=\log(x^2-2x-3)</cmath> |
Latest revision as of 21:21, 17 July 2024
Problem
If all the logarithms are real numbers, the equality
is satisfied for:
Solution
From the given we have
However substituing into
gets a negative argument, which is impossible
.
~ Nafer
See also
1968 AHSC (Problems • Answer Key • Resources) | ||
Preceded by Problem 22 |
Followed by Problem 24 | |
1 • 2 • 3 • 4 • 5 • 6 • 7 • 8 • 9 • 10 • 11 • 12 • 13 • 14 • 15 • 16 • 17 • 18 • 19 • 20 • 21 • 22 • 23 • 24 • 25 • 26 • 27 • 28 • 29 • 30 • 31 • 32 • 33 • 34 • 35 | ||
All AHSME Problems and Solutions |
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