(ln(x))^2+8 = ln(x)^6
I got
x approx 7.39 and x approx 54.6
Here it the graph that i used.
https://www.desmos.com/calculator/qxpw96aye2
I graphed it to get these approximtions: 0.2295 and 4.357.
If you are in calculus, you might want to try Newton's method.