Question

Решить уравнение $2^{x+3}-2^{x}=112$

Answer 1

$2^{x+3}-2^x=112$
$2^{x}(2^3-1)=112$
$2^x(8-1)=112$
$2^x7=112$
$2^x=16$
$2^x=2^4$
x=4

Answer 2

$2^{x+3}-2^x=112 \\ \\ 2^{x}*8-2^x=112 \\ \\ 2^{x}(8-1)=112 \\ \\ 2^{x}*7=112 \\ \\ 2^{x}=16 \\ \\ 2^x=2^4 \\ \\ x=4$