Find $x$: $(2^{3})^{x} \cdot 2^{4} = 2^{16}$.

Find $x$: $(2^{3})^{x} \cdot 2^{4} = 2^{16}$.
  1. $3$
  2. $4$
  3. $5$
  4. $6$

Solution

$2^{3x+4} = 2^{16} \Rightarrow 3x + 4 = 16 \Rightarrow x = 4$.

Asked in: IMO

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