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a) \(3^{x+1}=729\)\(\Leftrightarrow3.3^x=729\Rightarrow3^x=243\Rightarrow3^x=3^5\Rightarrow x=5\)
b) \(2^x+2^{x+1}+2^{x+3}=704\Rightarrow2^x+2^x.2+2^x.2^3=704\Rightarrow2^x\left(1+2+8\right)=704\)
\(\Rightarrow2^x.11=704\Rightarrow2^x=64\Rightarrow2^x=2^5\Rightarrow x=5\)
\(-5.\left(x+\frac{1}{5}\right)-\frac{1}{2}.\left(x-\frac{2}{3}\right)=\frac{3}{2}x-\frac{5}{6}\)
\(\Rightarrow-5x-1-\frac{1}{2}x+\frac{1}{3}=\frac{3}{2}x-\frac{5}{6}\)
\(\Rightarrow-5x-\frac{1}{2}x-\frac{3}{2}x=\frac{-5}{6}-\frac{1}{3}+1\)
\(\Rightarrow-7x=\frac{-1}{6}\)
\(\Rightarrow x=\frac{1}{42}\)
Vậy ...
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\(3.\left(3x-\frac{1}{2}\right)^3+\frac{1}{9}=0\)
\(\Rightarrow3.\left(3x-\frac{1}{2}\right)^3=\frac{-1}{9}\)
\(\Rightarrow\left(3x-\frac{1}{2}\right)^3=\frac{-1}{27}\)
\(\Rightarrow\left(3x-\frac{1}{2}\right)^3=\left(\frac{-1}{3}\right)^3\)
\(\Rightarrow3x-\frac{1}{2}=\frac{-1}{3}\)
\(\Rightarrow3x=\frac{1}{6}\)
\(\Rightarrow x=\frac{1}{18}\)
Vậy...
Bài 1:
6) 3x + 2³ = 17 + 3²
3x + 8 = 17 + 9
3x + 8 = 26
3x = 26 - 8
3x = 18
x = 18 : 3
x = 6
Vậy x = 6
Bài 2:
3) 145 - (125 + x) = 12
125 + x = 145 - 12
125 + x = 133
x = 133 - 125
x = 8
Vậy x = 8
6) 3³ - (x - 5) = 2²
27 - (x - 5) = 4
x - 5 = 27 - 4
x - 5 = 23
x = 23 + 5
x = 28
Vậy x = 28
9) (x + 7) - 15⁰ = 202 - 19
(x + 7) - 1 = 189
x + 7 = 189 + 1
x + 7 = 190
x = 190 - 7
x - 183
Vậy x = 183
\(\frac{24}{-12}\) = \(\frac{x}{5}\) = \(\frac{-y}{3}\)
- 2 = \(\frac{x}{5}\) = \(\frac{-y}{3}\)
\(x=5.\left(-2\right)\) = -10
y = -2.3:(-1) = -6:(-1) = 6
Vậy (\(x;y\)) = (-10; 6)
\(1\frac{3}{4}x-5=-3\frac{1}{3}\)
=> \(\frac{7}{4}x=-\frac{10}{3}+5\)
=> \(\frac{7}{4}x=\frac{5}{3}\)
=> x = 5/3 : 7/4
=> x = 20/21
\(\frac{x-2}{20}=\frac{5}{2-x}\)
=> (x - 2)(2 - x) = 20.5
=> -(x - 2)2 = 100
=> (x - 2)2 = -102
=> ko có giá trị x
kakashi hahahahahahahahahahahahahahahahahahahahahahahahahahahahaha
a, \(\frac{x}{5}=\frac{2}{3}\Leftrightarrow x=\frac{10}{3}\)
b, \(\frac{x}{-24}=\frac{20}{42}\Leftrightarrow x=-\frac{80}{7}\)
c, \(\frac{x+3}{15}=\frac{1}{3}\Leftrightarrow3x+9=15\Leftrightarrow x=2\)
d, \(\frac{2}{3}x-\frac{3}{2}x=\frac{5}{12}\Leftrightarrow x\left(\frac{2}{3}-\frac{3}{2}\right)=\frac{5}{12}\Leftrightarrow-\frac{5}{6}x=\frac{5}{12}\Leftrightarrow x=-\frac{1}{2}\)
\(\frac{5}{2x}-3=\frac{1}{x}\)
\(\frac{5}{2x}-\frac{1}{x}=3\)
\(\frac{5}{2x}-\frac{2}{2x}=3\)
\(\frac{3}{2x}=3\)
\(\frac{1}{2x}=\frac11\)
\(2x=1\)
\(x=\frac12\)
vậy x = \(\frac12\)
5/2.x - 3 = 1/x
⇔ 5x² - 6x = 2
⇔ 5x² - 6x - 2 = 0
Giải phương trình bậc 2:
x = (3 ± √19) / 5
Vậy x = (3 + √19) / 5 hoặc x = (3 - √19) / 5.