10 votes 10 votes If $(12x)_3 = (123)_x$, then the value of $x$ is $3$ $3$ or $4$ $2$ None of these Digital Logic isro2008 digital-logic number-representation + – go_editor asked Jun 12, 2016 • edited Dec 7, 2022 by Lakshman Bhaiya go_editor 5.1k views answer comment Share Follow See 1 comment See all 1 1 comment reply JashanArora commented Dec 3, 2019 reply Follow Share Base x uses digits 1,2,3. => Base is at least 4. Which directly eliminates Options A, B and C. 0 votes 0 votes Please log in or register to add a comment.
Best answer 14 votes 14 votes we know radix>digit so in lhs 3>x and in rhs x>3 there is no such number exist which satisfies the conditions D is the ans asu answered Jun 12, 2016 • selected Jun 25, 2016 by Desert_Warrior asu comment Share Follow See 1 comment See all 1 1 comment reply Debendra commented Jun 14, 2016 reply Follow Share Very correct. 1 votes 1 votes Please log in or register to add a comment.
–1 votes –1 votes x+2*3+1*3^2=3+2*x+1*x^2 =>x+6+9 =3+2x+x^2 =>x^2+2x-x+3-15=0 =>x^2+x-12=0 =>(x+4)(x-3)=0 x-3=0; x=3 x+4=0;x=-4 so option should be A Pinku Kumar Jha answered Jun 12, 2016 Pinku Kumar Jha comment Share Follow See all 6 Comments See all 6 6 Comments reply Show 3 previous comments Pinku Kumar Jha commented Jun 25, 2016 reply Follow Share for example if we take any number in decimal no system(where base is 10) we can use only 0,1,2,3,4,5,6,7,8,9 ...it is like 123,123459,45699 etc we can never use 10 as a digit in decimal number system.so as like that in number system is of base 3 and we can use only 0,1,2 as digit for number representation. thats why option A is wrong. 0 votes 0 votes naga praveen commented Jun 25, 2016 reply Follow Share Got it ...Thanks buddy 1 votes 1 votes Hira Thakur commented Oct 30, 2016 reply Follow Share @pinku ur eq are wrong 0 votes 0 votes Please log in or register to add a comment.