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2^x × (1 + 2 + 2^2 + 2^3)= 480
2^x × 15 = 480
2^x =32
x = 5
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 :)))
\(2^x+2^x+1+2^x+2+2^x+3=480\)
\(8^x+6=480\)
\(8^x=474\)
\(\Rightarrow x\in\varnothing\)
\(2^x+2^{x+1}+2^{x+2}+2^{x+3}-480=0\)
\(\Leftrightarrow2^x\left(1+2+2^2+2^3\right)-480=0\)
\(\Leftrightarrow2^x.15-480=0\)
\(\Leftrightarrow2^x.15=480\)
\(\Leftrightarrow2^x=32\)
\(\Leftrightarrow2^x=2^5\)
\(\Leftrightarrow x=5\)
Vậy ..
2x + 2x + 1 + 2x + 2 + 2x + 3 = 480
=> 2x.(1 + 2 + 4 + 8) = 480
=> 2x.15 = 480
=> 2x = 480 : 15
=> 2x = 32
=> 2x = 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
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 \(x=5\)
\(2^x+2^{x+1}+2^{x+2}+2^{x+3}=480\)
\(\Rightarrow2^x+2^x.2+2^x.2^2+2^x.2^3=480\)
\(\Rightarrow2^x.\left(1+2+2^2+2^3\right)=480\)
\(\Rightarrow2^x.15=480\)
\(\Rightarrow2^x=480:15\)
\(\Rightarrow2^x=32\)
\(\Rightarrow x=5\)
Chúc bạn học tốt !!!!
\(2^x+2^{x+1}+2^{x+2}+2^{x+3}=480\)
\(\Leftrightarrow2^x+2^x.2+2^x.2^2+2^x.2^3=480\)
\(\Leftrightarrow2^x\left(1+2+2^2+2^3\right)=480\)
\(\Leftrightarrow2^x.15=480\)
\(\Leftrightarrow2^x=32=2^5\)
\(\Leftrightarrow x=5\)
2x + 2x + 1 + 2x + 2 + 2x + 3 = 480
15 . 2x = 480
2x = 480 : 15
2x = 32
2x = 25
=> x = 5
\(2^x+2^{x+1}+2^{x+2}+2^{x+3}=-480\)
\(\Leftrightarrow2^x+2^x.2+2^x.2^2+2^x.2^3=-480\)
\(\Leftrightarrow2^x\left(2+2^2+2^3\right)=-480\)
\(\Leftrightarrow2^x.14=-480\)
\(\Leftrightarrow2^x=-480:14\)
\(\Leftrightarrow2^x=...\)
Mình nghĩ là không = -480 đc chỉ = 480 đc thôi bạn
Hok tốt
bạn oi sai rồi là 480:15 nhé hok gỉoi