You can put this solution on YOUR website! An x intercept is always where y = 0. If y = 2 log(10x), then let y = 0, and solve for x.
2 log(10x) = 0
log(10x) = 0
A y intercept is always where x = 0. If y = 2 log(10x), then y = 2 log(0), which is undefined.
Conclusion: X-intercept (,0). There is NO y-intercept.