Self Maths Puzzle Numerical Ability Number System

How many solutions are possible for this?

Log(x) base x = 1,
where n is not equal to 1

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Self Other Question

Q. 2 men & 3 women can finish a piece of work in 10 days, while 4 men can do it in 10 days. How many days will 5 men women take to finish it? Q. If log(x) to base x = n,
where n not equal to 1,
How many solutions of x are possible ?