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 ) 2x + 2x + 3 = 144
=> 2x . ( 1 + 23 ) = 144
=> 2x . 9 = 144
=> 2x = 16
=> 2x = 24
=> x = 4
Vậy x = 4
b ) 2x - 1 + 5. 2x - 2 = 224
=> 2x - 2 . ( 2 + 5 ) = 224
=> 2x - 2 . 7 = 224
=> 2x - 2 = 32
=> 2x - 2 = 25
=> x - 2 = 5
=> x = 7
Vậy x = 7