Math riddle, eliminating 2 of 3 answers with limited info

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The discussion revolves around solving a math riddle involving logarithms and comparisons. A user suggests using logarithmic functions to differentiate between three numbers based on their properties. Specifically, they propose asking whether the logarithm of 10 with a given number as the base is greater than 3, leading to distinct answers for each number. The conversation highlights the importance of recognizing undefined values in mathematical problems. Overall, the use of logarithms provides a clever method to eliminate incorrect options in the riddle.
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remove wrong forum/problem solved though

thanks
 
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You may be thinking too hard.

Consider this: what if YOU, the person asking the question, were also thinking of a number or numbers in your head, and your question involves a COMPARISON between the number/numbers you're thinking of and the number the other person wrote down?69
 
You can ask "Is the logaritm of 10 with this number as a base is bigger then 3?". Answer will be
-yes if it is 2 (because log(10) by base 2 equals 3,32)
-no for 3 (log(10) by base 3 equals 2,1)
-I don't know for 1 (because log(10) by base 1 is undefined).
 
Trave11er said:
You can ask "Is the logaritm of 10 with this number as a base is bigger then 3?". Answer will be
-yes if it is 2 (because log(10) by base 2 equals 3,32)
-no for 3 (log(10) by base 3 equals 2,1)
-I don't know for 1 (because log(10) by base 1 is undefined).

Thanks so much, it has been frustrating me so much lol.

I never thought of using logs it's just something that I personally don't use in math that often.
I knew/felt like the "I don't know" had something to do with it, genius of you to get one of the results to undefined
 
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