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

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

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

\(2\left(2^x\right)=144-3\)

\(2\left(2^x\right)=141\)

\(2^x=\frac{141}{2}\)

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

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

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

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

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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

=>2^x+2^x.2³=144

=>2^x+2^x.8=144

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

=>2^x.9

=>2^x=144:9

=>2^x=16=2⁴

=>x=4

2^x+2^x+3=144

2^x . 1 + 2^x . 2³ = 144

2^x . ( 1 + 2³ ) = 144

2^x . 9 = 144

2^x = 144 : 9

2^x = 16

2^x = 2⁴

=> x = 4

a) \(2^x+2^{x+3}=144\)

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

\(2^x.9=144\)

\(2^x=144:9=16\)

=> \(2^x=2^4\Rightarrow x=4\)

b) \(2^{x-1}+5.2^{x-2}=224\)

\(2^{x-2}\left(2+5\right)=224\)

\(2^{x-2}.7=224\Rightarrow2^{x-2}=32\Rightarrow2^{x-2}=2^5\)

=> x - 2 = 5 => x = 7

a ) 2^x + 2^{x + 3} = 144
=> 2^x . ( 1 + 2³ ) = 144

=> 2^x . 9  = 144

=> 2^x = 16

=> 2^x = 2⁴

=> x = 4
Vậy x = 4

b ) 2^{x - 1}  + 5. 2^{x - 2} = 224

=> 2^{x - 2} . ( 2 + 5 ) = 224

=> 2^{x - 2} . 7 = 224

=> 2^{x - 2} =  32

=> 2^{x - 2} = 2⁵

=> x - 2 = 5

=> x = 7

Vậy x = 7

2^x.(2^3+1)=144

2^x.9=144

2^x =16

=> x=4

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