If 125\(_x\) = 20\(_{10}\) find x
A
2
B
3
C
4
D
5
Verified Correct Answer: B.
Step-by-Step Mathematical Solution
125\(_x\) = 20\(_{10}\)
1 x X\(^2\) + 2 x X\(^1\) + 5x X \(^0\) = 20
X2 + 2X + 5 = 20
X\(^2\) + 2X - 15 = 0
(X + 5)( X - 3) = 0
X + 5 implies X = -5
X - 3 implies X = 3
But X cannot be negative
∴X = 3
Source: Myschool Past Questions Archive (Record #9258)