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22+log23.

Question

Evaluate: $2^{2 + {log}_{2} 3}$ .

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Solution

Given: $2^{2 + {log}_{2} 3}$
$= 2^{2} \times 2^{{log}_{2} 3}$
Using, $a^{{log}_{a} n} = n$
$= 4 \times 3$
$= 12$
Therefore, $2^{2 + {log}_{2} 3} = 12$

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