Question

Tìm số tự nhiên x, biết: 2^x + 2^{x + 3} = 144

Answer 1

\(2^x+2^{x+3}=144\\ \Rightarrow2^x+2^x.2^3=144\\ \Rightarrow2^x.\left(1+8\right)=144\\ \Rightarrow2^x.9=144\\ \Rightarrow2^x=\dfrac{144}{9}\\ \Rightarrow2^x=16\\ \Rightarrow2^x=2^4\\ \Rightarrow x=4\)

Answer 2

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

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

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

\(2^x\cdot9=144\)

\(2^x=\dfrac{144}{9}\)

\(2^x=16\)

`2^x=2^4`

`=>x=4`

Answer 3

2^x+2^x+3=144

<=>2^x+2^x*2³=144

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

<=>2^x=16

<=>x=4

Answer 4

2x+2x+3=144⇒2x+2x.23=144⇒2x.(1+8)=144⇒2x.9=144⇒2x=1449⇒2x=16⇒2x=24⇒x=4