Question

[Vũ Hoàng Hải]

2^x +2^{x + 3} = 144

Answer 1

[Toru]

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

\(\Rightarrow2^x\cdot1+2^x\cdot2^3=144\)

\(\Rightarrow2^x\cdot\left(1+2^3\right)=144\)

\(\Rightarrow2^x\cdot9=144\)

\(\Rightarrow2^x=\dfrac{144}{9}\)

\(\Rightarrow2^x=16\)

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

\(\Rightarrow x=4\)

#\(Toru\)