1950 AHSME Problems/Problem 18: Difference between revisions
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Of the following | Of the following | ||
(1) <math> a(x-y)=ax-ay </math> | (1) <math> a(x-y)=ax-ay </math> | ||
(2) <math> a^{x-y}=a^x-a^y </math> | (2) <math> a^{x-y}=a^x-a^y </math> | ||
(3) <math> \log (x-y)=\log x-\log y </math> | (3) <math> \log (x-y)=\log x-\log y </math> | ||
(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\times ay </math> | (5) <math> a(xy)=ax\times ay </math> | ||
<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> | <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> | ||
Revision as of 19:27, 27 January 2015
Problem
Of the following
(1) 
(2) 
(3) 
(4) 
(5) 
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 | |
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| All AHSME Problems and Solutions | ||
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