`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\(^{x+3}\)  + 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 

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

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

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

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

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

\(\Rightarrow2^x=16\)

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

\(\Rightarrow x=4\)

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

2^x + 2^x+3 = 144

2^x.(1+2³) = 144

2^x. 9 = 144

2^x = 16 = 2⁴

=> x = 4

3^( x-1) = 1/243
=> 3^x : 3 = 1/243
=>3^x = 3/243 = 1/81
=> x = -4 ( vì 3^-4 = 1/(3^4) = 1/81)

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

(4x-1)²=25x9

(4x-1)²=15²

=>4x-1=15

      4x     =16

(4x - 1)² = 25 . 9

\(\Rightarrow\)(4x - 1) . (4x - 1) = 225

\(\Rightarrow\)(4x - 1) . (4x - 1) = 15 . 15

\(\Rightarrow\)4x - 1 = 15

\(\Rightarrow\)4x = 16

\(\Rightarrow\)x = 4

Ta có:

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

\(\Rightarrow2^x.\left(2^3+1\right)=144\Rightarrow2^x.9=144\)

\(\Rightarrow2^x=144:9\Rightarrow2^x=16\)

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

2^x+3 + 2^x = 144

2^x( 2³ +1) = 144

2^x . 9 = 144

2^x = 16

2^x = 2⁴ => x=4

2^x+3 + 2^x = 144

2^x . 2³ + 2^x = 144

2^x (8 + 1) = 144

2^x . 9 = 144

2^x = 144 : 9

2^x = 16 = 2⁴

x=4

=> 2.2^x  = 144 - 3 

=> 2^x+1 = 141 

Vì 2^x+1 là số chẵn với x > 0 

    141 là số lẻ 

=> 2^x+1 khác 141 

VẬy không có x thỏa mãn