\(2^{x+3}.2^x=144\)
\(2^{x+3+x}=2^4.3^2\)
\(2^{2x+3}=2^4.3^2\)
\(2^{2x+3-4}=3^2\)
 

2\(^{x+3}\)  + 2\(^x\) = 144

2\(^x\).( 2³ + 1) = 144

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

2\(^x\) . 9 = 144

2\(^x\)       = 144 : 9

2\(^x\)       = 16

2\(^x\)        = 2⁴

 \(x\)         = 4 

`2^(x+3)+2^x=144`

`2^x *2^3 +2^x =144`

`2^x (8+1)=144`

`2^x *9=144`

`2^x =16`

`2^x =16`

`2^x =2^4`

`=>x=4`

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

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

\(\Rightarrow2^x.9=144\Rightarrow2^x=16\Rightarrow x=4\)

2^x + 3 + 2^x = 144 
<=> 2^x (2^3 + 1) = 144 
<=> 2^x . 9 = 144 
<=> 2^x  = 16 
<=> x = 4

 2^x + 2^x+3 = 144

 2^x + 2^x . 2^3 = 144

 2^x ( 2^3 + 1 ) = 144

 2^x ( 8 + 1 ) = 144

 2^x . 9 = 144

 2^x = 144 : 9

 2^x = 16

 2^x = 2^4

=> x = 4

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

\(\Rightarrow2.2^x=144-3=141\)

\(\Rightarrow2^x=\frac{141}{2}=70,5\)

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2^x + 2^x-3 = 144

\(2^xx1+2^xx2^3\)\(=144\) 

\(2^x.\left(1+2^3\right)=144\) 

\(2^x.9=144\)

\(2^x=144:9\) 

\(2^x=16\)

\(2^x=2^4\)

\(=>x=4\) 

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

\(\Rightarrow2^x+2^x.2^3=144\)

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

\(\Rightarrow2^x.9=144\)

\(\Rightarrow2^x=144:9\)

\(\Rightarrow2^x=16\)

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

\(\Rightarrow x=4\)

Vậy x = 4

_Chúc bạn học tốt_

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

\(\Leftrightarrow2^x+2^x\cdot2^3=144\)

\(\Leftrightarrow2^x+2^x\cdot8=144\)

\(\Leftrightarrow2^x\left(1+8\right)=144\)

\(\Leftrightarrow2^x\cdot9=144\)

\(\Leftrightarrow2^x=144:9\)

\(\Leftrightarrow2^x=16\)

\(\Leftrightarrow2^x=2^4\)

\(\Leftrightarrow x=4\)

Vậy x=4

Ta có :2^x+2^x+3 =144 <=> 2^x+ 2^x * 2³=144

<=> 2^x  *   ( 1+2³)=144

<=> 2^x = 144/9 =16 = 2⁴

=> x=4

nếu đề là: 2^x + 2^{x + 3} = 144 ; thì giải  như sau:

             2^x + 2^{x + 3} = 144

         =>  2^x . 1 + 2^x . 2³ = 144       (dấu .  là dâu nhân nhé)

          => 2^x . (1 + 2³) = 144

         =>  2^x . 9 = 144

         => 2^x = 144 : 9 = 16

        => x = 4

2^x + 2^(x + 3) = 144
<=>2^x+2^x.2^3=144
<=>2^x+8.2^x=144
<=>2^x.9=144
<=>2^x=16
<=>2^x=2^4
<=>x=4

2^x+2^x+1=6