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a)3^x+1=9^x
3^x+1=3.3^x
3^x+1=3^x+1
=>x thuộc TH Z
b)2^3.x+2=4^x+5
2^3x+2=2^2.(x+5)
2^3x+2=2^2x+10
2^3x=2^2x+8
3x-2x=8
=>x=8
c)3^2x-1=243
3^2x=243.3
3^2x=729
3^2x=3^6
=>2x=6
x=6:2=3
chúc bạn học tốt nha
a) 2x = 16 b) 3x + 1 = 9x
2x = 24 3x + 1 = 32x
x = 4 x + 1 = 2x
x = 1
c) 23x + 2 = 4x + 2
23x + 2 = 22(x + 2)
3x + 2 = 2(x + 2)
3x + 2 = 2x + 4
x = 2
d) 32x - 1 = 243
32x - 1 = 35
2x - 1 = 5
2x = 6
x = 3
b) \(3^{x+1}=9^x\)
\(3^{x+1}=\left(3^2\right)^x\) c)
\(3^{x+1}=3^{2x}\)
\(\Rightarrow x+1=2x\)
\(1=2x-x\)
\(1=x\)
Vậy x=1
b) \(3^{x+1}=9^x=3^{2x}\)
\(\Rightarrow x+1=2x\Leftrightarrow x=1\)
c) \(2^{3x+2}=4^x+5\Leftrightarrow4^{2x+1}=4^{x+5}\)
\(\Rightarrow2x+1=x+5\)\(\Rightarrow x=4\)
d) \(3^{2x-1}=243=3^5\)
\(\Rightarrow2x-1=5\Rightarrow x=3\)
1) 3x + 1 = 9x
3x + 1 = 32x
x + 1 = 2x
1 = 2x - x
1 = x
=> x = 1
2) 23x + 2 = 4x + 5
23x + 2 = 22(x + 5)
3x + 2 = 2x + 10
3x = 2x + 10 - 2
3x = 2x + 8
3x - 2x = 8
x = 8
=> x = 8
3x+ 1 = 9x
=> 3x + 1= 32x
=> x + 1 = 2x
=> x - 2x = -1
=> x = 1
23x+ 2= 4x + 5
=> 23x + 2 = 22x + 10
=> 3x + 2 = 2x + 10
=> 3x - 2x = 10 - 2
=> x = 8
32x - 1 =243
=> 32x - 1 = 35
=> 2x - 1 = 5
=> 2x = 5 + 1
=> 2x = 6
=> x = 3
* Trả lời:
\(\left(1\right)\) \(-3\left(1-2x\right)-4\left(1+3x\right)=-5x+5\)
\(\Leftrightarrow-3+6x-4-12x=-5x+5\)
\(\Leftrightarrow6x-12x+5x=3+4+5\)
\(\Leftrightarrow x=12\)
\(\left(2\right)\) \(3\left(2x-5\right)-6\left(1-4x\right)=-3x+7\)
\(\Leftrightarrow6x-15-6+24x=-3x+7\)
\(\Leftrightarrow6x+24x+3x=15+6+7\)
\(\Leftrightarrow33x=28\)
\(\Leftrightarrow x=\dfrac{28}{33}\)
\(\left(3\right)\) \(\left(1-3x\right)-2\left(3x-6\right)=-4x-5\)
\(\Leftrightarrow1-3x-6x+12=-4x-5\)
\(\Leftrightarrow-3x-6x+4x=-1-12-5\)
\(\Leftrightarrow-5x=-18\)
\(\Leftrightarrow x=\dfrac{18}{5}\)
\(\left(4\right)\) \(x\left(4x-3\right)-2x\left(2x-1\right)=5x-7\)
\(\Leftrightarrow4x^2-3x-4x^2+2x=5x-7\)
\(\Leftrightarrow-x-5x=-7\)
\(\Leftrightarrow-6x=-7\)
\(\Leftrightarrow x=\dfrac{7}{6}\)
\(\left(5\right)\) \(3x\left(2x-1\right)-6x\left(x+2\right)=-3x+4\)
\(\Leftrightarrow6x^2-3x-6x^2-12x=-3x+4\)
\(\Leftrightarrow-15x+3x=4\)
\(\Leftrightarrow-12x=4\)
\(\Leftrightarrow x=-\dfrac{1}{3}\)
Bài 1:
- \(\dfrac{11}{2}x\) + 1 = \(\dfrac{1}{3}x-\dfrac{1}{4}\)
- \(\dfrac{11}{2}\)\(x\) - \(\dfrac{1}{3}\)\(x\) = - \(\dfrac{1}{4}\) - 1
-(\(\dfrac{33}{6}\) + \(\dfrac{2}{6}\))\(x\) = - \(\dfrac{5}{4}\)
- \(\dfrac{35}{6}\)\(x\) = - \(\dfrac{5}{4}\)
\(x=-\dfrac{5}{4}\) : (- \(\dfrac{35}{6}\))
\(x\) = \(\dfrac{3}{14}\)
Vậy \(x=\dfrac{3}{14}\)
Bài 2: 2\(x\) - \(\dfrac{2}{3}\) - 7\(x\) = \(\dfrac{3}{2}\) - 1
2\(x\) - 7\(x\) = \(\dfrac{3}{2}\) - 1 + \(\dfrac{2}{3}\)
- 5\(x\) = \(\dfrac{9}{6}\) - \(\dfrac{6}{6}\) + \(\dfrac{4}{6}\)
- 5\(x\) = \(\dfrac{7}{6}\)
\(x\) = \(\dfrac{7}{6}\) : (- 5)
\(x\) = - \(\dfrac{7}{30}\)
Vậy \(x=-\dfrac{7}{30}\)