0 votes 0 votes Consider the equation $(123)_x=(12x)_3$with x as unknown. The number of possible solutions is for x_____ . Digital Logic number system + – Shivani gaikawad asked Aug 23, 2018 Shivani gaikawad 434 views answer comment Share Follow See all 6 Comments See all 6 6 Comments reply Shaik Masthan commented Aug 23, 2018 reply Follow Share zero. (123)x ===> x>3 (12x)3 ===> x<3 both are contradicting ===> 0 solutions possible 1 votes 1 votes Shivani gaikawad commented Aug 23, 2018 reply Follow Share @shaikh sir from where to practice these type of questions :) 0 votes 0 votes Verma Ashish commented Aug 23, 2018 reply Follow Share What about x as 3? 0 votes 0 votes Shaik Masthan commented Aug 23, 2018 reply Follow Share x can't be 3 either in LHS or in RHS 0 votes 0 votes Verma Ashish commented Aug 23, 2018 reply Follow Share Oh i get it. is it because using 3 as base we can't represent other than 0,1or 2? 0 votes 0 votes Shaik Masthan commented Aug 23, 2018 reply Follow Share @Verma Ashish yes @Shivani gaikawad, you can check questions in this site... 0 votes 0 votes Please log in or register to add a comment.
1 votes 1 votes 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 ... Pavan Karthik answered Aug 23, 2018 Pavan Karthik comment Share Follow See all 0 reply Please log in or register to add a comment.