Well if you write this as
Since is undefined, we can't accept as a solution, which means we have
You will need to use a numerical method to solve this.
How do you solve an equation with a quadratic expression on one side and a log expression on the other?
The specific question is:
2*n*log10(n) = 0.1*n^2
(Background: this is actually for an algorithm analysis question - I am trying to find the intersection points of the worst-case running times of two algorithms)
Thanks a lot for the fast replies.
I also got up to n = 10^(0.05*n) and did not know how to proceed any further. What is meant by solving it numerically, exactly? Does it basically mean a brute-force approach?