Question

Tìm x: \(2^x+2^{x+1}=48\)

Answer 1

2ˣ + 2ˣ⁺¹ = 48

2ˣ.(1 + 2) = 48

2ˣ.3 = 48

2ˣ = 48 : 3

2ˣ = 16

2ˣ = 2⁴

x = 4

Answer 2

\(2^x+2^{x+1}=48\\ \Rightarrow2^x+2^x\cdot2^1=48\\ \Rightarrow2^x\left(1+2\right)=48\\ \Rightarrow2^x\cdot3=48\\ \Rightarrow2^x=48:3\\ \Rightarrow2^x=16\\ \Rightarrow2^x=2^4\\ \Rightarrow x=4\)

Vậy `x=4`