Answer
1. $log(x^{1/logx})=\frac{1}{logx}\times logx=1$, since $log5\ne 1$, the equation does not have a solution, end prove.
2. Let $logk=1$, we have $k=10$
3. It tells us that the graph would be a line $y=10$
4. See graph.
Work Step by Step
see above.