Determine the value of base x if (211)x = (6a)16

convert 6A base 16 into base 10.

(6)(161)+(10)(160)=96+10=106(6)(161)+(10)(160)=96+10=106

Then, let’s convert 211 base x into base 10,  result must equal to 106.

(2)(x2)+(1)(x1)+(1)(x0)=106(2)(x2)+(1)(x1)+(1)(x0)=106

2x2+x–105=02x2+x–105=0

Factoring the equation and exclude the non-integer result, we will get x=7x=7

it’s base 7.

c. would be your answer.

mark brainliest if correct! hope i .