Dear members,

I was watching the video linked below on fractional dimension. At 2mn I can't get to the final expression for x in terms of y, and how the i exponent disappears :

$\displaystyle y = \frac{1}{3^i} , x=3*4^i , x = 3*\left (\frac{1}{y} \right )^\frac{\log 4}{\log3}$

As a starting point I tried to use the x equation and substract y, or multiply by y but it did not get me to the result.

Thank you very much for your help !

https://youtu.be/XjKbhgFSuEo?t=2m