If (K2)\(_6\) * 3\(_6\) = 3\(_5\)(K4)\(_5\), what is the value of k?
A
1
B
4
C
3
D
2
Verified Correct Answer: D.
Step-by-Step Mathematical Solution
(K2)\(_6\) * 3\(_6\) = 3\(_5\)(K4)\(_5\)
(K*6\(^1\) + 2*6\(^0\)) 3*6\(^0\) = 3*5\(^0\)(K*5\(^1\) + 4*5\(^0\))
3(6K + 2) = 3(5K + 4)
6K + 2 = 5K + 4
6K - 5K = 4 - 2
K = 2
Source: Myschool Past Questions Archive (Record #8753)