Question

Solve equation 1102 Base 3= 212 Base n​

Answer 1

Answer: 4

Explanation:

`1102_(3)=2+0(3)+1(9)+1(27)=38\\\\212_(n)=2+1(n)+2(n^2)=2n^2 + n+2\\\\\implies 2n^2 + n+2=38\\\\2n^2 + n-36=0\\\\(n-4)(2n+9)=0\\\\n=-(9)/(2), 4`

However, as the base must be positive, n=4.