Difference between revisions of "1950 AHSME Problems/Problem 26"
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Line 12: | Line 12: | ||
adding <math>\log_{10} n</math> to both sides: | adding <math>\log_{10} n</math> to both sides: | ||
<cmath>\log_{10} m + \log_{10} n=b</cmath> | <cmath>\log_{10} m + \log_{10} n=b</cmath> | ||
− | using the logarithm property < | + | using the logarithm property: <math>\log_a {b} + \log_a {c}=\log_a{bc}</math> |
<cmath>\log_{10} {mn}=b</cmath> | <cmath>\log_{10} {mn}=b</cmath> | ||
rewriting in exponential notation: | rewriting in exponential notation: |
Revision as of 00:25, 10 June 2020
Contents
[hide]Problem
If , then
Solution 1
We have . Substituting, we find . Using , the left side becomes . Because , .
Solution 2
adding to both sides: using the logarithm property: rewriting in exponential notation:
See Also
1950 AHSC (Problems • Answer Key • Resources) | ||
Preceded by Problem 25 |
Followed by Problem 27 | |
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All AHSME Problems and Solutions |
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