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\(2^{x+3}.2^x=144\)
\(2^{x+3+x}=2^4.3^2\)
\(2^{2x+3}=2^4.3^2\)
\(2^{2x+3-4}=3^2\)
![](https://rs.olm.vn/images/avt/0.png?1311)
\(2^x+2^{x+3}=144\\ 2^x\left(1+2^3\right)=144\\ 2^x.9=144\\ 2^x=16\\ 2^x=2^4\\ \Rightarrow x=4\)
\(2^x+2^x+3=144\)
\(2\left(2^x\right)=144-3\)
\(2\left(2^x\right)=141\)
\(2^x=\frac{141}{2}\)
vô lí nhỉ????
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\(2^x+2^{x+3}=144\)
\(\Rightarrow2^x\left(1+2^3\right)=144\)
\(\Rightarrow2^x.9=144\Rightarrow2^x=16\Rightarrow x=4\)
![](https://rs.olm.vn/images/avt/0.png?1311)
2x + 3 + 2x = 144
<=> 2x (2^3 + 1) = 144
<=> 2x . 9 = 144
<=> 2x = 16
<=> x = 4
![](https://rs.olm.vn/images/avt/0.png?1311)
2^x + 2^x-3 = 144
\(2^xx1+2^xx2^3\)\(=144\)
\(2^x.\left(1+2^3\right)=144\)
\(2^x.9=144\)
\(2^x=144:9\)
\(2^x=16\)
\(2^x=2^4\)
\(=>x=4\)
![](https://rs.olm.vn/images/avt/0.png?1311)
nếu đề là: 2x + 2x + 3 = 144 ; thì giải như sau:
2x + 2x + 3 = 144
=> 2x . 1 + 2x . 23 = 144 (dấu . là dâu nhân nhé)
=> 2x . (1 + 23) = 144
=> 2x . 9 = 144
=> 2x = 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
![](https://rs.olm.vn/images/avt/0.png?1311)
![](https://rs.olm.vn/images/avt/0.png?1311)
2x+2x+3=144
=>2x+2x.23=144
=>2x+2x.8=144
=>2x.(8+1)=144
=>2x.9
=>2x=144:9
=>2x=16=24
=>x=4
2x+2x+3=144
2x . 1 + 2x . 23 = 144
2x . ( 1 + 23 ) = 144
2x . 9 = 144
2x = 144 : 9
2x = 16
2x = 24
=> x = 4
![](https://rs.olm.vn/images/avt/0.png?1311)
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
![](https://rs.olm.vn/images/avt/0.png?1311)
2x + 2x + 3 = 144
2x . 1 + 2x . 23 = 144
2x . (1 + 8) = 144
2x . 9 = 144
2x = 16 = 24
=> x = 4