Question

\(2^{x+2}-2^x=48\)  

TÌM x: .........

Answer 1

_\(^{2^x}\)x \(^{2^2}\)- \(2^x\)x 1= 48

=> \(2^x\)x ( \(^{2^2}\)- 1 ) = 48

=> \(2^x\) x ( 4 - 1) = 48

=> \(2^x\)x 3 = 48

=> \(2^x\)= 48 : 3

=> \(^{2^x}\)= 16

=> \(2^x\)= \(2^4\)

=> x = 4

Vậy: x = 4

Answer 2

2^x+2-2^x=48

2^x.2²-2^x=48

2^x.4-2^x=48

2^x.3=48

2^x=48:3

2^x=16

2^x=2⁴

=>x=4