Question

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

Answer 1

convert both into decimal system.

x = 7

$211_x=152_8\\\\ 2\ x^2+x+1\ x^0=1*8^2+5*8+2\\\\2x^2+x+1=106\\\\x=\frac{-1+-\sqrt{1+840}}{4}=7$