Question

2^x+2 - 2^x = 48

Answer 1

\(=>2^x.2^2-2^x=48\)

\(=>2^x.\left(2^2-1\right)=48\)

\(=>2^x.3=48\)

\(=>2^x=48:3\)

\(=>2^x=16\)

\(=>2^x=2^4\)

=>x=4

Vậy .......

Answer 2

\(2^{x+2}-2^x=48\)

\(\Rightarrow2^x.2^2-2^x.1=48\)

\(\Rightarrow2^x\left(2^2-1\right)=48\)

\(\Rightarrow2^x.3=48\)

\(\Rightarrow2^x=48:3\)

\(\Rightarrow2^x=16\)

\(\Rightarrow2^x=2^4\)

\(\Rightarrow x=4\)

Vậy \(x=4\)