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c) 23 . 84 và 323
23 . 84 = 23 . ( 23)4 = 23 . 212 = 215
323 = ( 25)3 = 215
\(\Rightarrow\) 23 . 84 = 323
d) 274 . 92 và 310
274 . 92 = ( 33)4 . ( 32)2 = 312 . 34 = 316
310
\(\Rightarrow\) 274 . 92 > 310
Tôi biết làm rồi, tôi hỏi để xem tôi có đúng với kết quả của các bạn không ?
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ý a)\(\left(x-5\right)^4=\)\(\left(x-5\right)^6\)
\(\Rightarrow\left(x-5\right)^4=\)\(\left(x-5\right)^4\left(x-5\right)\)
\(\Rightarrow1=x-5\)
\(\Rightarrow x=4\)
ý b)\(x^{2006}=x^2\)
vì 2006 ; 2 là số chẵn
\(\Rightarrow x=1;-1\)
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a,X^2006-X^2=0
X^2(X^2014-1)=0
X^2=0;x^2014=1
X=-1;0;1
b,2^x+2-2^x=96
2^x.4-2^x=96
2^x(4-1)=96
2^x=96:3
2^x=32
2^x=2^5
x=5
c,x.(x^2)^3=x^5
x.x^6=x^5
x^7-x-5=0
...
x=-1;0;1
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23x + 20060 x = 95:81
8x +x = 95: 92
9x=93
x=93:9
x=92
x=81
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\(\left(x-5\right)^4=\left(x-5\right)^6\)
\(\Leftrightarrow\left(x-5\right)^6-\left(x-5\right)^4=0\)
\(\Leftrightarrow\left(x-5\right)^4\left[\left(x-5\right)^2-1\right]=0\)
\(\Leftrightarrow\left(x-5\right)^4\left(x-6\right)\left(x-4\right)=0\)
\(\Leftrightarrow x=5;x=6;x=4\)
\(x^{2006}=x^2\)
\(\Leftrightarrow x^{2006}-x^2=0\)
\(\Leftrightarrow x^2\left(x^{2004}-1\right)=0\)
\(\Leftrightarrow x^2\left(x^{1002}-1\right)\left(x^{1002}+1\right)=0\)
\(\Leftrightarrow x^2\left(x^{1001}+1\right)\left(x^{1001}-1\right)\left(x^{1002}+1\right)=0\)
\(\Rightarrow x=0;x=-1;x=1\)
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a)\(5x\cdot5x\cdot5x=\left(5x\right)^3\)
b) \(x^1\cdot x^2\cdot...\cdot x^{2006}=x^{1+2+3+...+2006}=x^{2013021}\)
c)\(x\cdot x^4\cdot x^7\cdot...\cdot x^{100}=x^{1+4+7+...+100}=x^{101\cdot17}=x^{1717}\)