Question

In what scale is $511197$ denoted by $1746335$?

Answer 1

$1746335$ from the scale $x$ to decimal is $5\times x^0+3\times x^1+3\times x^2+6\times x^3+4\times x^4+7\times x^5+1\times x^6=x^6+7x^5+4x^4+6x^3+3x^2+3x+5=511197$

$\Rightarrow (x^5+7x^4+4x^3+6x^2+3x+3)\times x=511192=8\times 63899$

This is only possible, if $x=8$.

Hence, scale is Eight.