Difference between revisions of "1971 AHSME Problems/Problem 21"
Coolmath34 (talk | contribs) (Created page with "== Problem == If <math>\log_2(\log_3(\log_4 x))=\log_3(\log_4(\log_2 y))=\log_4(\log_2(\log_3 z))=0</math>, then the sum <math>x+y+z</math> is equal to <math>\textbf{(A) }50...") |
m (see also, boxed answer) |
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Line 19: | Line 19: | ||
Therefore, <math>x + y + z = 89.</math> | Therefore, <math>x + y + z = 89.</math> | ||
− | The answer is <math>\textbf{(C)}.</math> | + | The answer is <math>\boxed{\textbf{(C) }89}.</math> |
-edited by coolmath34 | -edited by coolmath34 | ||
+ | |||
+ | == See Also == | ||
+ | {{AHSME 35p box|year=1971|num-b=20|num-a=22}} | ||
+ | {{MAA Notice}} |
Latest revision as of 09:58, 5 August 2024
Problem
If , then the sum
is equal to
Solution
If then
So, we can rewrite this equation:
Solve individually for each variable.
Therefore,
The answer is
-edited by coolmath34
See Also
1971 AHSC (Problems • Answer Key • Resources) | ||
Preceded by Problem 20 |
Followed by Problem 22 | |
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 |
The problems on this page are copyrighted by the Mathematical Association of America's American Mathematics Competitions.