If, then:
2 + 6r = 6r + 6 ------- Bases are equal and so are their exponents
6r - 6r = 6 - 2
, so NO SOLUTIONS. <======= CORRECT ANSWER, considering the correct equation was solved
You DON'T NEED LOGS or any complex calculations to solve this equation....just the laws of exponents!
Using logs is just a waste of time and effort, unless you're requested to use logs, of course.