Question

x^logx=100x find the value of x​

Answer 1

Take loglog from both sides:

log(xlogx)=log(100x)

log⁡(xlog⁡x)=log⁡(100x)

log(x)log(x)=log(100x)=log(100)+log(x)

log⁡(x)log⁡(x)=log⁡(100x)=log⁡(100)+log⁡(x)

Or:

(logx)2−(logx)=2

(log⁡x)2−(log⁡x)=2

Now you have a quadratic equation which you should be able to solve.