tớ tìm ra đáp số = 5 nha cậu 
x = 5

2^x × (1 + 2 + 2^2 + 2^3)= 480

2^x × 15 = 480 

2^x =32 

x = 5

tự giải tự trả lời :v

Ta có : 2^x + 2^x+1 + 2^x+2 + 2^x+3 = 480

=>       2^x . (1+2+2^2+2^3)=480

=>       2^x . 15=480

=>       2^x=480:15

=>      2^x=32

=>      2^x=2^5

=>      x=5 

Vậy x=5 

Tk và kb với mk nha :)))

Ta có: \(2^x+2^{x+1}+2^{x+2}+2^{x+3}=480\)

\(\Rightarrow2^x+2^x.2+2^x.2^2+2^x.2^3=480\)

\(\Rightarrow2^x.\left(1+2+2^2+2^3\right)=480\)

\(\Rightarrow2^x.15=480\)

\(\Rightarrow2^x=480\div15=32\)

\(\Rightarrow2^x=2^5\)

\(\Rightarrow x=5\)

Vậy x = 5

sai rùi bạn

\(2^x+2^x+1+2^x+2+2^x+3=480\)

\(8^x+6=480\)

\(8^x=474\)

       \(\Rightarrow x\in\varnothing\)

ủng hộ mình lên 280 điểm với các bạn

\(2^x+2^{x+1}+2^{x+2}+2^{x+3}-480=0\)

\(\Leftrightarrow2^x\left(1+2+2^2+2^3\right)-480=0\)

\(\Leftrightarrow2^x.15-480=0\)

\(\Leftrightarrow2^x.15=480\)

\(\Leftrightarrow2^x=32\)

\(\Leftrightarrow2^x=2^5\)

\(\Leftrightarrow x=5\)

Vậy ..

2^x + 2^{x + 1} + 2^{x + 2} + 2^{x + 3} = 480

=> 2^x.(1 + 2 + 4 + 8) = 480

=> 2^x.15 = 480

=> 2^x = 480 : 15

=> 2^x = 32

=> 2^x = 2⁵

=> x = 5

có \(2^x+2^{x+1}+2^{x+2}+2^{x+3}=\)480

\(2^x\cdot1+2^x\cdot2+2^x\cdot4+2^x\cdot8=480\)

\(2^x\cdot\left(1+2+4+8\right)=480\)

\(2^x\cdot15=480\)

\(2^x=32\)

do đó x = 5

\(2^x+2^{x+1}+2^{x+2}+2^{x+3}=480\)

\(\Rightarrow2^x\times\left(1+2+4+8\right)=480\)

\(\Rightarrow2^x\times15=480\)

\(\Rightarrow2^x=480:15\)

\(\Rightarrow2^x=32\)

\(\Rightarrow2^x=32=2^5\)
\(\Rightarrow x=5\)

câu 1 sai đề :>>>

1) \(\left(x-2\right)^6=\left(x-2\right)^8\)

\(\Leftrightarrow\left(x-2\right)^8-\left(x-2\right)^6=0\)

\(\Leftrightarrow\left(x-2\right)^6.\left[\left(x-2\right)^2-1\right]=0\)

\(\Leftrightarrow\orbr{\begin{cases}x-2=0\\\left(x-2\right)^2=1\end{cases}}\) \(\Leftrightarrow\orbr{\begin{cases}x=2\\x=3,x=1\end{cases}}\)

2) \(2^x+2^{x+1}+2^{x+2}+2^{x+3}=480\)

\(\Leftrightarrow2^x.\left(1+2+2^2+2^3\right)=480\)

\(\Leftrightarrow2^x.15=480\)

\(\Leftrightarrow2^x=32=2^5\)

\(\Leftrightarrow x=5\)

\(2^x+2^{x+1}+2^{x+2}+2^{x+3}=480\)

\(2^x+2^x.2+2^x.4+2^x.8=480\)

\(2^x.\left(1+2+4+8\right)=480\)

\(2^x.15=480\)

\(2^x=32\)

\(2^x=2^5\)

\(x=5\)

Vậy \(x=5\)

2^x+2^x+1+2^x+2+2^x+3=480

\(\Leftrightarrow2^x\left(1+2+2^2+2^3\right)=480\)

\(\Leftrightarrow2^x.15=480\)

\(\Leftrightarrow2^x=32=2^5\)

\(\Leftrightarrow x=5\)

minh chiu

tk nhe@@@@@@@@@@@@@@@@@

bye

hihi

\(2^x+2^{x+1}+2^{x+2}+2^{x+3}=480\)

\(\Rightarrow2^x+2^x.2+2^x.2^2+2^x.2^3=480\)

\(\Rightarrow2^x.\left(1+2+2^2+2^3\right)=480\)

\(\Rightarrow2^x.15=480\)

\(\Rightarrow2^x=480:15\)

\(\Rightarrow2^x=32\)

\(\Rightarrow x=5\)

Chúc bạn học tốt !!!!