If \(4^{4m+2} = 8^{6m-4}\), solve for \(m\)
Answer: D
Exp: \(4^{4m+2} = (2^3)^{6m-4} \)
\(\Rightarrow 4^{4m+2} = 2^{18m+12}\)
Equating powers of 2 both sides,
\(4m + 2 = 18m -12 \)
\(\Rightarrow 14=14m \)
\(\Rightarrow m=1\)