Question

Determine the value of X if (211) base x = (152) base 8, how to do this?

Answer 1

X=7

Answer 2

1. convert 152 into decimal, we get 1*8+5*8+2*8=(106) base 10
2. convert 106 into base 7 & we get (211) base 7

Answer 3

(211)base x=(152)base 8 ..... eq. (1)
convert into decimal both sides, we get
2x^2+x+1=106
this is quadratic equation,so
2x^2+x-105=0 and we get
x1=7, x2=-7.5
consider x=7 and u get both sides equal

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use to find value of quadratic equation online (:

Answer 4

thank