\(2^{x+1}+5.2^{x+2}=88\)
\(\Rightarrow2^x.2+5.2^x.2^2=88\)
\(\Rightarrow2^x\left(2+5.2^2\right)=88\)
\(\Rightarrow2^x.22=88\)
\(\Rightarrow2^x=4\)
\(\Rightarrow2^x=2^2\)
\(\Rightarrow x=2\)
Vậy x = 2
Theo bài ra ta có:
2x+1+5.2x+2 = 88
=> 2x.2+5.2x.22
=> 2x.( 2 = 5.22 )
=> 2x.22 = 88
=> 2x = 88:22
=> 2x = 4
=> x = 4:2
=> x = 2
Vậy x = 2
2x+1+5.2x+2=88
2x+1+5.2x+1.2=88
2x+1+(5.2).2x+1=88
2x+1+10.2x+1 =88
2x+1(1+10) =88
2x+1.11 =88
2x+1 =88:11
2x+1 =8
2x+1 =23
x+1 =3
x =3-1
x = 2
Vậy x=2