I found this puzzle on another site and spent several hours on it, and am utterly humbled by it! I don't even know if it is really solvable, but I'm guessing it is and I just can't figure this out. Note, I know how to apply the change of base formula, and have tried every permutation I can think of - changing both bases to 2, or 3, or xy, or log, or ln!

Any clues would be appreciated

QM