Question

2\(^x\)+2\(^{x+3}\)=144

Answer 1

2^x + 2^x+3 = 144

=> 2^x + 2^x.2³ = 144

=> 2^x + 2^x.8 = 144

=> 2^x.(1 + 8) = 144

=> 2^x.9 = 144

=> 2^x = 144 : 9

=> 2^x = 16 = 2⁴

=> x = 4

Vậy x = 4

Answer 2

\(2^x+2^{x+3}=144\)

\(2^x+2^x.2^3=144\)

\(2^x+2^x.8\)\(=144\)

\(2^x.1+2^x.8=144\)

\(2^x.\left(1+8\right)=144\)

\(2^x.9=144\)

\(2^x=144:9\)

\(2^x=2^4\)

\(\Rightarrow x=4\)