Discussion
Solve for \(m\) if \(49(7^m) = 343^{3m+6}\)
Answer: B
Exp: \(49(7^m) = 343^{3m+6} \)
\(\Rightarrow 7^2 7^m = (7^3)^{3m+6} \)
\(\Rightarrow 7^{2+m} = 7^{9m+18}\)
Equating powers of 7 on both sides,
\(\Rightarrow m + 2 = 9m + 18\)
\(\Rightarrow - 16 = 8m\)
\(\Rightarrow m = -2\)
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