Question

[SONG NGƯ]

giá trị x thỏa mản 2^x+3-2^x+1=96 là

x=3

x=5

x=4

x=2

Answer 1

[Lấp La Lấp Lánh]

\(2^{x+3}-2^{x+1}=96\)

\(\Rightarrow2^{x+1}\left(2^2-1\right)=96\)

\(\Rightarrow2^{x+1}.3=96\Rightarrow2^{x+1}=32\)

\(\Rightarrow x+1=5\Rightarrow x=4\)