2^x+2^x+3=144
2 ^(x+3)*2 ^x = 144
\(2^{x+3}.2^x=144\)
\(2^{x+3+x}=2^4.3^2\)
\(2^{2x+3}=2^4.3^2\)
\(2^{2x+3-4}=3^2\)
2^x+3 +2^x =144
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+3 +2^x=144
`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`
tính: 2015(144-1^2)x(144-2^2)x...........x(144-20^2)
Bài 2: Tìm x
d) \(2^x\)+\(2^{x+3}\)=144
\(2^x+2^{x+3}=144\)
\(\Rightarrow2^x\left(1+2^3\right)=144\)
\(\Rightarrow2^x.9=144\Rightarrow2^x=16\Rightarrow x=4\)
tìm x :
2^x+2^x+3=144
2x + 3 + 2x = 144
<=> 2x (2^3 + 1) = 144
<=> 2x . 9 = 144
<=> 2x = 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
\(2^x+2^x+3=144\)
\(\Rightarrow2.2^x=144-3=141\)
\(\Rightarrow2^x=\frac{141}{2}=70,5\)
Tới đây bn tự tính nha
CHÚC BN HOK TỐT
Tìm x
2^x + 2^x-3 = 144
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 mũ x+2 mũ x+3=144
\(2^x+2^{x+3}=144\)
\(\Rightarrow2^x+2^x.2^3=144\)
\(\Rightarrow2^x.\left(1+2^3\right)=144\)
\(\Rightarrow2^x.9=144\)
\(\Rightarrow2^x=144:9\)
\(\Rightarrow2^x=16\)
\(\Rightarrow2^x=2^4\)
\(\Rightarrow x=4\)
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
Ta có :2x+2x+3 =144 <=> 2x+ 2x * 23=144
<=> 2x * ( 1+23)=144
<=> 2x = 144/9 =16 = 24
=> x=4
2^x+2^x+3=144
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