Question

2 mũ x+2 - 2 mũ x = 96 giải hộ mình mình tích cho

Answer 1

`#3107.101107`

\(2^{x+2}-2^x=96\\ \Rightarrow2^x\cdot2^2-2^x=96\\ \Rightarrow2^x\cdot\left(2^2-1\right)=96\\ \Rightarrow2^x\cdot3=96\\ \Rightarrow2^x=32\\ \Rightarrow2^x=2^5\\ \Rightarrow x=5\)

Vậy, `x = 5.`