Respuesta:
a)
[tex]531_{(a)}[/tex]
[tex]Mayor[/tex] [tex]cifra[/tex] [tex]= 5[/tex]
[tex]Minima[/tex] [tex]base =[/tex] [tex]5 +1[/tex][tex]= 6[/tex]
∴ [tex]a= 6[/tex]
b)
[tex]6532_{(b)}[/tex]
[tex]Mayor[/tex] [tex]cifra = 6[/tex]
[tex]Minima[/tex] [tex]base = 6 + 1 = 7[/tex]
∴ [tex]b= 7[/tex]
c)
[tex]1243_{(c)}[/tex]
[tex]Mayor[/tex] [tex]cifra = 4[/tex]
[tex]Minima[/tex] [tex]base = 4 + 1 = 5[/tex]
∴ [tex]c= 5[/tex]
d)
[tex]9523_{(m)}[/tex]
[tex]Mayor[/tex] [tex]cifra = 9[/tex]
[tex]Minima[/tex] [tex]base = 9 + 1 = 10[/tex]
∴ [tex]m = 10[/tex]
e)
[tex]4560_{(x)}[/tex]
∴ [tex]x = 7[/tex]
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Verified answer
Respuesta:
⨠ El menor valor de la base de un número es la mayor cifra + 1:
7)
a)
[tex]531_{(a)}[/tex]
[tex]Mayor[/tex] [tex]cifra[/tex] [tex]= 5[/tex]
[tex]Minima[/tex] [tex]base =[/tex] [tex]5 +1[/tex][tex]= 6[/tex]
∴ [tex]a= 6[/tex]
b)
[tex]6532_{(b)}[/tex]
[tex]Mayor[/tex] [tex]cifra = 6[/tex]
[tex]Minima[/tex] [tex]base = 6 + 1 = 7[/tex]
∴ [tex]b= 7[/tex]
c)
[tex]1243_{(c)}[/tex]
[tex]Mayor[/tex] [tex]cifra = 4[/tex]
[tex]Minima[/tex] [tex]base = 4 + 1 = 5[/tex]
∴ [tex]c= 5[/tex]
d)
[tex]9523_{(m)}[/tex]
[tex]Mayor[/tex] [tex]cifra = 9[/tex]
[tex]Minima[/tex] [tex]base = 9 + 1 = 10[/tex]
∴ [tex]m = 10[/tex]
e)
[tex]4560_{(x)}[/tex]
[tex]Mayor[/tex] [tex]cifra = 6[/tex]
[tex]Minima[/tex] [tex]base = 6 + 1 = 7[/tex]
∴ [tex]x = 7[/tex]