Question

2 mũ x+1- 2 mũ x=32

 

Answer 1

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

Answer 2

\(2^{x+1}-2^x=32\\ =>2^x.\left(2^1-1\right)=32\\ =>2^x.1=2^5\\ =>x=5\)