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Consider the equation $(123)_x=(12x)_3$with x as unknown. The number of possible solutions is for x_____ .
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+1

zero.

(123)x ===> x>3

(12x)3 ===> x<3

both are contradicting ===> 0 solutions possible

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@shaikh sir from where  to practice these type of questions :)
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x can't be 3 either in LHS or in RHS
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Oh i get it.

is it because using 3 as base we can't represent other than 0,1or 2?
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@Verma Ashish

yes

you can check questions in this site...

+1 vote
No solution

because x>3 as every value in the number is <=3 according to LHS,But in RHS  the base is 3 ,so every digit must be less than 3

so LHS not equal to RHS so ...
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