Solve (2^3)^4 = (2^2)^x

Solve: \((2^3)^4 = (2^2)^x\)

Solution

\[ (2^3)^4 = (2^2)^x \]

\[ = 2^{12} = 2^{2x} \]

\[ \Rightarrow 12 = 2x \]

\[ \Rightarrow x = 6 \]

Final Answer:

\[ \boxed{x = 6} \]

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