Question

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

Answer 1

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

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

\(2^x.9=144\)

\(2^x=144\div9\)

\(2^x=16\)

\(2^x=2^4\)

\(\Rightarrow x=4\)

Answer 2

\(2^x+2^{x+3}=144\\ 2^x+2^x.2^3=144\\ 2^x.\left(1+2^3\right)=144\\ 2^x.9=144\\ 2^x=144:9\\ 2^x=16\\ 2^x=2^4\\ x=4\\ Vậyx=4\)