Question

\(2^n+2^{x+3}=144\)

Answer 1

\(2^n+2^{n+3}=144\\ \rightarrow2^n\cdot1+2^n\cdot2^3=144\\ \rightarrow2^n\left(1+2^3\right)=144\\ \rightarrow2^n\cdot9=144\\ \rightarrow2^n=16\\ \rightarrow n=4\)

Answer 2

$\text{}2$$^{n}+2$$^{x+3}=144$
$\text{}(1+2$$^{3}).2$$^{n} = 144$
$\text{}(1+8).2$$^{n}=144$

$\text{}9.2$$^{n}=144$
$\text{2}$$^{n}=144:9$
$\text{2}$$^{n} = 16$

$\text{}2$$^{n} = 2$$^{4}$
$\text{}n = 4$