\(\left(\frac{1}{2}\right)^{3x-1}=\left(\frac{1}{2}\right)^5\)
\(\Rightarrow3x-1=5\)
3x \(=6\)
x \(=2\)
Vậy x=2
Violympic toán 7
Các câu hỏi tương tự
Bài 1: Tìm x biết:
a, \(x.\cdot\left(\frac{1}{4}+\frac{1}{5}\right)-\left(\frac{1}{7}+\frac{1}{8}\right)=0\)
b, \(\left(5x-1\right).\left(2x-\frac{1}{3}\right)=0\)
c, \(\frac{3x+2}{5x+7}=\frac{3x-1}{5x+1}\)
d, \(\frac{x+1}{2x+1}=\frac{0,5x+2}{x+3}\)
e, \(\frac{-3}{4}-\left|\frac{4}{5}-x\right|=-1\)
Bài 1: Thu gọn
a) frac{1}{5}x^4y^3-3x^4y^3
b) 5x^2y^5-frac{1}{4}x^2y^5
c) frac{1}{7}x^2y^3.left(-frac{14}{3}xy^2right)-frac{1}{2}xy.left(x^2y^{text{4}}right)
d) left(3xyright)^2.left(-frac{1}{2}x^3y^2right)
e) -frac{1}{4}xy^2+frac{2}{5}x^2y+frac{1}{2}xy^2-x^2y
f) frac{1}{2}x^4y.left(-frac{2}{3}x^3y^2right)-frac{1}{3}x^7y^3
g) frac{1}{2}x^2y.left(-10x^3yz^2right).frac{1}{4}x^5y^3z
h) 4.left(-frac{1}{2}xright)^2-frac{3}{2}x.left(-xright)+frac{1}{3}x^2
i) 1frac{2}{3}x^3y.left(frac{-1}{2}xy...
Đọc tiếp
Bài 1: Thu gọn
a) \(\frac{1}{5}x^4y^3-3x^4y^3\)
b) \(5x^2y^5-\frac{1}{4}x^2y^5\)
c) \(\frac{1}{7}x^2y^3.\left(-\frac{14}{3}xy^2\right)-\frac{1}{2}xy.\left(x^2y^{\text{4}}\right)\)
d) \(\left(3xy\right)^2.\left(-\frac{1}{2}x^3y^2\right)\)
e) \(-\frac{1}{4}xy^2+\frac{2}{5}x^2y+\frac{1}{2}xy^2-x^2y\)
f) \(\frac{1}{2}x^4y.\left(-\frac{2}{3}x^3y^2\right)-\frac{1}{3}x^7y^3\)
g) \(\frac{1}{2}x^2y.\left(-10x^3yz^2\right).\frac{1}{4}x^5y^3z\)
h) \(4.\left(-\frac{1}{2}x\right)^2-\frac{3}{2}x.\left(-x\right)+\frac{1}{3}x^2\)
i) \(1\frac{2}{3}x^3y.\left(\frac{-1}{2}xy^2\right)^2-\frac{5}{4}.\frac{8}{15}x^3y.\left(-\frac{1}{2}xy^2\right)^2\)
k) \(-\frac{3}{2}xy^2.\left(\frac{3}{4}x^2y\right)^2-\frac{3}{5}xy.\left(-\frac{1}{3}x^4y^3\right)+\left(-x^2y\right)^2.\left(xy\right)^2\)
n) \(-2\frac{1}{5}xy.\left(-5x\right)^2+\frac{3}{4}y.\frac{2}{3}\left(-x^3\right)-\frac{1}{9}.\left(-x\right)^3.\frac{1}{3}y\)
m) \(\left(-\frac{1}{3}xy^2\right)^2.\left(3x^2y\right)^3.\left(-\frac{5}{2}xy^2z^3\right)^{^2}\)
p) \(-2y.\left|2\right|x^4y^5.\left|-\frac{3}{4}\right|x^3y^2z\)
Tìm x, biết:
a) 4left|3x-1right|+left|xright|-2left|x-5right|+7left|x-3right|12
b) 3left|x+4right|-left|2x+1right|-5left|x+3right|+left|x+9right|5
c)
left|2frac{1}{5}-xright|+left|x-frac{1}{5}right|+8frac{1}{5}1,2
d) 2left|x+3frac{1}{2}right|+left|xright|-3frac{1}{2}left|2frac{1}{5}-xright|
Đọc tiếp
Tìm \(x,\) biết:
a) \(4\left|3x-1\right|+\left|x\right|-2\left|x-5\right|+7\left|x-3\right|=12\)
b) \(3\left|x+4\right|-\left|2x+1\right|-5\left|x+3\right|+\left|x+9\right|=5\)
c) \( \left|2\frac{1}{5}-x\right|+\left|x-\frac{1}{5}\right|+8\frac{1}{5}=1,2\)
d) \(2\left|x+3\frac{1}{2}\right|+\left|x\right|-3\frac{1}{2}=\left|2\frac{1}{5}-x\right|\)
tìm x biết
a.\(\frac{-3}{4}-\left|\frac{4}{5}-x\right|=-1\)
b.\(\left|\frac{-1}{2}-x\right|=\frac{1}{3}\)
c.\(\left|2^1_2+x\right|-\frac{-2}{3}=3\)
d.\(\frac{-5}{7}-\left|\frac{1}{2}-x\right|=\frac{-11}{4}\)
e.\(\left|3x+4\right|=2\left|2x-9\right|\)
thực hiện phép tính
a.-2xy^2.left(x^3y-2x^2y^2+5xy^3right)
b.left(-2xright).left(x^3-3x^2-x+1right)
c.3x^2left(2x^3-x+5right)
d.left(-10x^3+frac{2}{5}y-frac{1}{3}zright).left(-frac{1}{2}xyright)
e.left(3x^2y-6xy+9xright).left(-frac{4}{3}xyright)
f.left(4xy+3y-5xright).x^2y
Đọc tiếp
thực hiện phép tính
a.\(-2xy^2.\left(x^3y-2x^2y^2+5xy^3\right)\)
b.\(\left(-2x\right).\left(x^3-3x^2-x+1\right)\)
c.3x\(^2\left(2x^3-x+5\right)\)
d.\(\left(-10x^3+\frac{2}{5}y-\frac{1}{3}z\right).\left(-\frac{1}{2}xy\right)\)
e.\(\left(3x^2y-6xy+9x\right).\left(-\frac{4}{3}xy\right)\)
f.\(\left(4xy+3y-5x\right).x^2y\)
3/a)Mleft(xright)frac{1}{2}x^2-3x-x^3+3
-x^3+frac{1}{2}x^2-3x+3
Nleft(xright)-4x+x^2+frac{1}{2}x^3+6
frac{1}{2}x^3+x^2-4x^3+6
b)Ta có:text{A}left(xright)Mleft(xright)-Nleft(xright)
hay text{A}left(xright)left(-x^3+frac{1}{2}x^2-3x+3right)-left(frac{1}{2}x^3+x^2-4x+6right)
-x^3+frac{1}{2}x^2-3x+3-frac{1}{2}x^3-x^2+4x-6
-frac{3}{2}x^3-frac{1}{2}x^2+x-3
Đặttext{A}left(xright)0
Rightarrow-frac{3}{2}x^3-frac{1}{2}x^2+x-30
-frac{3}{2}...
Đọc tiếp
3/a)\(M\left(x\right)=\frac{1}{2}x^2-3x-x^3+3\)
\(=-x^3+\frac{1}{2}x^2-3x+3\)
\(N\left(x\right)=-4x+x^2+\frac{1}{2}x^3+6\)
\(=\frac{1}{2}x^3+x^2-4x^3+6\)
b)Ta có:\(\text{A}\left(x\right)=M\left(x\right)-N\left(x\right)\)
hay \(\text{A}\left(x\right)=\left(-x^3+\frac{1}{2}x^2-3x+3\right)-\left(\frac{1}{2}x^3+x^2-4x+6\right)\)
\(=-x^3+\frac{1}{2}x^2-3x+3-\frac{1}{2}x^3-x^2+4x-6\)
\(=-\frac{3}{2}x^3-\frac{1}{2}x^2+x-3\)
Đặt\(\text{A}\left(x\right)=0\)
\(\Rightarrow-\frac{3}{2}x^3-\frac{1}{2}x^2+x-3=0\)
\(-\frac{3}{2}x^3-\frac{1}{2}x^2=-x+3\)
\(-2\left(x^3-x^2\right)=-x+3\)
\(x^3-x^2+x=3+2=5\)
\(x^2=5\)
\(\Rightarrow x=\sqrt{5}\)
Vậy \(\text{A}\left(x\right)\) có 1 nghiệm là \(\sqrt{5}\)
1.thu gọn rồi chỉ ra hệ số và phần biến của mỗi đơn thức sau
a)(\(7xy^3\)).(\(\frac{-3}{7}x^2y^2\)) b)\(\frac{1}{4}xyz.\left(-2\right)^3x^3\left(yz\right)^2\)
2.tìm x biết
a)\(\left(x+\frac{1}{2}\right):0,25=\frac{-4}{5}\) b)3x(x-1)+2(x-1)=0
Cho các đa thức sau: \(P\left(x\right)=-2x+\frac{1}{2}x^2+3x^4-3x^2-3\) và \(Q\left(x\right)=3x^4+x^3-4x^2+1,5x^3-3x^4+2x+1\)
Xác định đa thức \(R\left(x\right)\) thỏa mãn \(R\left(x\right)+P\left(x\right)-Q\left(x\right)+x^2=2x^3-\frac{3}{2}x+1\)
1.thực hiện phép tính
a.25.left(frac{-1}{5}right)^3+frac{1}{5}-2.left(frac{-1}{2}right)^2-frac{1}{2}
b.35^1_6:left(frac{-4}{5}right)-46^1_6:left(frac{-4}{5}right)
c.left(frac{-3}{4}+frac{2}{5}right):frac{3}{7}+left(frac{3}{5}+frac{-1}{4}right):frac{3}{7}
d.frac{7}{8}:left(frac{2}{9}-frac{1}{18}right)+frac{7}{8}.left(frac{1}{36}-frac{5}{12}right)
e.frac{1}{6}+frac{5}{6}.frac{3}{2}-frac{3}{2}+1
f.left(-0,75-frac{1}{4}right):left(-5right)+frac{1}{15}-left(frac{-1}{5}right):left(-3right)
Đọc tiếp
1.thực hiện phép tính
a.\(25.\left(\frac{-1}{5}\right)^3+\frac{1}{5}-2.\left(\frac{-1}{2}\right)^2-\frac{1}{2}\)
b.\(35^1_6:\left(\frac{-4}{5}\right)-46^1_6:\left(\frac{-4}{5}\right)\)
c.\(\left(\frac{-3}{4}+\frac{2}{5}\right):\frac{3}{7}+\left(\frac{3}{5}+\frac{-1}{4}\right):\frac{3}{7}\)
d.\(\frac{7}{8}:\left(\frac{2}{9}-\frac{1}{18}\right)+\frac{7}{8}.\left(\frac{1}{36}-\frac{5}{12}\right)\)
e.\(\frac{1}{6}+\frac{5}{6}.\frac{3}{2}-\frac{3}{2}+1\)
f.\(\left(-0,75-\frac{1}{4}\right):\left(-5\right)+\frac{1}{15}-\left(\frac{-1}{5}\right):\left(-3\right)\)