Question

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Answer 1

Respuesta:

13

Explicación paso a paso:

$4^{\left(x+1\right)}\cdot8^{\left(x-1\right)}=16^{\left(x+3\right)}\\\\4^{x}\cdot4\cdot\left(2\cdot4\right)^{x}\cdot\left(2\cdot4\right)^{-1}=\left(4\cdot4\right)^{x}\cdot\left(4\cdot4\right)^{3}\\ 4^{x}\cdot4\cdot2^{x}\cdot4^{x}\cdot\left(2\cdot4\right)^{-1}=4^{x}\cdot4^{x}\cdot\left(4\cdot4\right)^{3}\\\\2^{x}\cdot\left(2\right)^{-1}=\left(4\cdot4\right)^{3}\\\\2^{x}=2\left(2^{2}\cdot2^{2}\right)^{3}\\\\2^{x}=2^{13}$