Question

please determine the value of it....​

Answer 1

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Answer 2

$Answer \: \: \\ \\ Given \: \: Question \: \: Is \: \: \\ \\ 2 {}^{2 + log_{2}(3) } \\ \\ 2 {}^{ log_{2}(2 {}^{2} ) + log_{2}(3) } \\ \\ 2 {}^{ log_{2}(2 {}^{2} \times 3) } \\ \\ 2 {}^{ log_{2}(12) } \\ \\ = 12 \\ \\ Note \: \\ \\ 1) \: \: \: \: log_{y}(y) = 1 \\ \\ 2) \: \: \: log(x {}^{n} ) = n log(x) \\ \\ 3) \: \: \: log_{2}(2 {}^{2} ) = 2 log_{2}(2) = 2(1) = 2$