Question

Find the value of x in the following: (2^3)^4=(2^2)^x
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Answer 1

$\huge \implies \tt(2^3)^4=(2^2)^x \\ \\ \huge\to \: \:\bf {2}^{(3 \times 4)} = {2}^{(2 \times x)} \\ \\ \huge\to \: \: \bf {\cancel2}^{12} = { \cancel2}^{2x} \\ \\ \huge \to \: \: \bf 12 = 2x \\ \\ \huge\to \: \:\bf \frac{12}{2} = \frac{\cancel2x}{\cancel2} \\ \\ \huge\to \: \: \sf{}x = \frac{12}{2} = \red6$