Difference between revisions of "2023 IOQM/Problem 2"
(→Problem) |
(→Problem) |
||
| Line 1: | Line 1: | ||
==Problem== | ==Problem== | ||
| − | Find the number of elements in the set | + | Find the number of [[elements]] in the [[set]] |
<cmath>\lbrace(a.b)\in N: 2 \leq a,b \leq2023,\:\: \log_{a}{b}+6\log_{b}{a}=5\rbrace</cmath> | <cmath>\lbrace(a.b)\in N: 2 \leq a,b \leq2023,\:\: \log_{a}{b}+6\log_{b}{a}=5\rbrace</cmath> | ||
==Solution== | ==Solution== | ||
![\[\lbrace(a.b)\in N: 2 \leq a,b \leq2023,\:\: \log_{a}{b}+6\log_{b}{a}=5\rbrace\]](http://latex.artofproblemsolving.com/7/5/f/75fe09afd4da734f976243ddeda521b906b7a04b.png)
