Verify Mean Value Theorem for the function on the interval [1,2]

by finding (all) the appropriate point(s) c where the derivative equals the slope of the

secant line between the end points of the interval.

I think I know how to do this. But I have got to solve it without a calculator apparently!!

slope of secant line is

let m = ln2 + 3

now substitute:

now I'm stuck here. How do I solve this without a calculator?

Thanks!