Difference between revisions of "1950 AHSME Problems/Problem 18"
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(4) <math> \frac{\log x}{\log y}=\log{x}-\log{y} </math> | (4) <math> \frac{\log x}{\log y}=\log{x}-\log{y} </math> | ||
| − | (5) <math> a(xy)=ax\ | + | (5) <math> a(xy)=ax\cdotay </math> |
| − | <math> \textbf{(A)} | + | <math>\textbf{(A)}\text{Only 1 and 4 are true}\qquad\\\textbf{(B)}\ \text{Only 1 and 5 are true}\qquad\\\textbf{(C)}\ \text{Only 1 and 3 are true}\qquad\\\textbf{(D)}\ \text{Only 1 and 2 are true}\qquad\\\textbf{(E)}\ \text{Only 1 is true} </math> |
== Solution == | == Solution == | ||
Revision as of 21:19, 6 February 2023
Problem
Of the following
(1) 
(2) 
(3) 
(4) 
(5) $a(xy)=ax\cdotay$ (Error compiling LaTeX. Unknown error_msg)
Solution
The distributive property doesn't apply to logarithms or in the ways illustrated, and only applies to addition and subtraction. Also, 
, so 
.
See Also
| 1950 AHSC (Problems • Answer Key • Resources) | ||
| Preceded by Problem 17 |
Followed by Problem 19 | |
| 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 • 36 • 37 • 38 • 39 • 40 • 41 • 42 • 43 • 44 • 45 • 46 • 47 • 48 • 49 • 50 | ||
| All AHSME Problems and Solutions | ||
The problems on this page are copyrighted by the Mathematical Association of America's American Mathematics Competitions. 
