Log functions?

[maggiodd]

Not every equation can be solved algebraically. I suspect you can't solve this for x, but haven't played with it enough.

As previously suggested, you can get a numerical estimate as follows:
You have f(x)>g(x). Try graphing f(x)-g(x) and look for where the graph is above the x-axis. This portion of the graph is where f(x)>g(x). The x-intercept is where ln(x) = cuberoot(x). A graphing calculator can estimate that x-intercept.

Hope that helps.
Dan