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Làm 1 câu thuii nha mik nhát quá!! nhưng các bài còn lại tương tự nha!!
a. \(\left(x+1\right)\left(3-x\right)=0\)
\(\Rightarrow\orbr{\begin{cases}x+1=0\\3-x=0\end{cases}\Rightarrow\orbr{\begin{cases}x=-1\\x=3\end{cases}}}\)
Vậy..
hok tốt!!
\(\left(x+1\right)\left(3-x\right)=0\)
\(\Leftrightarrow\orbr{\begin{cases}x+1=0\\3-x=0\end{cases}\Leftrightarrow\orbr{\begin{cases}x=-1\\x=3\end{cases}}}\)
vậy x=-1 hoặc x=3
\(\left(x-2\right)\left(2x-1\right)=0\)
\(\Leftrightarrow\orbr{\begin{cases}x-2=0\\2x-1=0\end{cases}\Leftrightarrow\orbr{\begin{cases}x=2\\2x=1\end{cases}\Leftrightarrow}\orbr{\begin{cases}x=2\\x=\frac{1}{2}\end{cases}}}\)
vậy x=2 hoặc x=1/2
câu c tương tự
\(\left(x^2+1\right)\left(81-x^2\right)=0\)
\(\Leftrightarrow\orbr{\begin{cases}x^2+1=0\\81-x^2=0\end{cases}\Leftrightarrow\orbr{\begin{cases}x^2=-1\\x^2=81\end{cases}}}\Leftrightarrow\orbr{\begin{cases}x\in\varnothing\\x=\pm9\end{cases}}\)
vậy x=9 hoặc x=-9
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A, mình thấy ko có
B, x^10 = 25 . x^8
x^10 ÷ x^8 = 25
x^2 = 5^2
=> x =5 ,-5
C,5^x . (5^3)^2 = 625
5^x . 5^6 = 5^4
5^x = 5^-2
=> X = -2
D, 3^6 . 3^3x = 81^3
3^6 . 3^3x = 3^12
27^x = 27^3
=> x = 3
Tk mình với bạn ơi. Đúng rồi nhé!!
CHÚC BẠN HỌC TỐT ✓✓
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a. (x + 3)3 = 1000
=> (x + 3)3 = 103
=> x + 3 = 10
=> x = 7
b. (x + 1)2 = 25
=> (x + 1)2 = (-5)2 = 52
=> x + 1 = -5 hoặc x + 1 = 5
=> x = -6 hoặc x = 4
c. (x - 7)4 = 16
=> (x - 7)4 = (-2)4 = 24
=> x - 7 = -2 hoặc x - 7 = 2
=> x = 5 hoặc x = 9
d. (x - 3)4 = 81
=> (x - 3)4 = (-3)4 = 34
=> x - 3 = -3 hoặc x - 3 = 3
=> x = 0 hoặc x = 6
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a/ ( x - 1 )4 = 81
( x - 1)4 = 34
=> x - 1 = 3
x = 3 + 1
x = 4
b/ ( 3x - 2 )2 = 1
( 3x - 2)2 = 12
=> 3x - 2 = 1
3x = 1 + 2
3x = 3
x = 3 : 3
x = 1
c/ ( x - 1 )5 = -32
( x - 1 )5 = (-2)5
=> x - 1 = -2
x = -2 + 1
x = -1
d/ ( 2x - 3 )3 = 125
( 2x - 3 )3 = 53
=> 2x - 3 = 5
2x = 5 + 3
2x = 8
x = 8 : 2
x = 4
k nha bn !!!!
\(\left(x-1\right)^4=81\)
\(\Rightarrow\left(x-1\right)=3\)
\(\Rightarrow x=4\)
\(\left(3x-2\right)^2=1\)
\(\Rightarrow\orbr{\begin{cases}3x-2=-1\\3x-2=1\end{cases}\Rightarrow\orbr{\begin{cases}x=\frac{1}{3}\\x=1\end{cases}}}\)
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\(\hept{\begin{cases}5^{x+2}=25^y\\27^y=81.3^{x+4}\end{cases}}\Leftrightarrow\hept{\begin{cases}5^{x+2}=5^{2y}\\3^{3y}=3^{x+8}\end{cases}}\Leftrightarrow\hept{\begin{cases}x+2=2y\\3y=x+8\end{cases}}\Leftrightarrow\hept{\begin{cases}x=2y-2\\3x=2y-2+8\end{cases}}\Leftrightarrow\hept{\begin{cases}x=10\\y=6\end{cases}}\)
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\(a,\left(1+3x\right)^4=256\)
\(\left(1+3x\right)^4=4^4\)
\(\Rightarrow\orbr{\begin{cases}1+3x=4\\1+3x=-4\end{cases}}\Rightarrow\orbr{\begin{cases}3x=3\\3x=-5\end{cases}}\Rightarrow\orbr{\begin{cases}x=1\\x=\frac{-5}{3}\end{cases}}\)
\(b,720:\left(x-140\right)=3^3-2^3.4\)
\(720:\left(x-140\right)=-5\)
\(x-140=720:\left(-5\right)\)
\(x-140=-144\)
\(x=-4\)
\(c,16^x.4^3=512\)
\(\left(2^4\right)^x=8\)
\(2^{4x}=2^3\)
\(\Rightarrow4x=3\)
\(\Rightarrow x=\frac{3}{4}\)
\(d,\left(2x-1\right)^4=81\)
\(\left(2x-1\right)^4=3^4\)
\(\Rightarrow\orbr{\begin{cases}2x-1=3\\2x-1=-3\end{cases}}\Rightarrow\orbr{\begin{cases}2x=4\\2x=-2\end{cases}}\Rightarrow\orbr{\begin{cases}x=2\\x=-1\end{cases}}\)
Bài làm :
\(1\text{)}...\Leftrightarrow\orbr{\begin{cases}\left(1+3x\right)^4=4^4\Leftrightarrow1+3x=4\Leftrightarrow3x=3\Leftrightarrow x=1\\\left(1+3x\right)^4=\left(-4\right)^4\Leftrightarrow1+3x=-4\Leftrightarrow3x=-5\Leftrightarrow x=-\frac{5}{3}\end{cases}\Leftrightarrow}\orbr{\begin{cases}x=1\\x=-\frac{5}{3}\end{cases}}\)
\(2\text{)}...\Leftrightarrow720\div\left(x-140\right)=-5\Leftrightarrow x-140=-144\Leftrightarrow x=-4\)
\(3\text{)}...\Leftrightarrow\left(2^4\right)^x.\left(2^2\right)^3=2^9\Leftrightarrow2^{4x}.2^6=2^9\Leftrightarrow2^{4x}=2^3\Leftrightarrow4x=3\Leftrightarrow x=\frac{3}{4}\)
\(4\text{)}...\Leftrightarrow\orbr{\begin{cases}\left(2x-1\right)^4=3^4\Leftrightarrow2x-1=3\Leftrightarrow2x=4\Leftrightarrow x=2\\\left(2x-1\right)^4=\left(-3\right)^4\Leftrightarrow2x-1=-3\Leftrightarrow2x=-2\Leftrightarrow x=-1\end{cases}}\Leftrightarrow\orbr{\begin{cases}x=2\\x=-1\end{cases}}\)
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3x+25=26.22+2.50130 mũ 81
=>3x+25=26.4+2.50130m
=>3x+25=26.4+2.1
=>3x+25=104+2
=>3x+25=106
=>3x=81
Mà 3x=81=34
=>x=4
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( 3x - 1 )3 = 125
( 3x - 1 )3 = 53
=> 3x - 1 = 5
3x = 6
x = 2
( 10 + x ) : 25 = 30 . 22
( 10 + x ) : 25 = 4
10 + x = 100
x = 90
1-1-2-3-4-5-6-7-8-9 = bao nhiêu đố ai làm đượng
\(\left(3x-\frac{2}{3}\right)^2=\frac{25}{81}\)
\(\Rightarrow\left(3x-\frac{2}{3}\right)^2=\left(\frac{5}{9}\right)^2=\left(-\frac{5}{9}\right)^2\)
\(\Rightarrow\orbr{\begin{cases}3x-\frac{2}{3}=\frac{5}{9}\\3x-\frac{2}{3}=-\frac{5}{9}\end{cases}}\Rightarrow\orbr{\begin{cases}3x=\frac{11}{9}\\3x=\frac{1}{9}\end{cases}}\Rightarrow\orbr{\begin{cases}x=\frac{11}{27}\\x=\frac{1}{27}\end{cases}}\)