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If 543 is the base b representation of the square of a number whose base b representation is 24, then b, written in base 10, equa
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- (543)b=3+4b+5(b^2)...(1)
[(24)b]^2=[4+2b]^2....(2)
equating 1 and 2 we get
b=13 - 11 years agoHelpfull: Yes(5) No(0)
- b=13
543 in base 13 = 169*5+13*4+3= 845+52+3= 900
24 in base 13 =30
30^2=900 - 11 years agoHelpfull: Yes(4) No(3)
- b=13
543 in base 13 = 169*5+13*4+3= 845+52+3= 900
24 in base 13 =30
30^2=900 - 11 years agoHelpfull: Yes(2) No(0)
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