Bài 1 : Tìm x biết :
a, \(\left|\frac{3}{2}x+\frac{1}{2}\right|=\left|4x-1\right|\)
b, \(\left|\frac{5}{4}x-\frac{7}{2}\right|-\left|\frac{5}{8}x+\frac{3}{5}\right|=0\)
c,\(\left|\frac{7}{5}x+\frac{2}{3}\right|=\left|\frac{4}{3}x-\frac{1}{4}\right|\)
Bài 2 : Tìm x biết :
a, | 2x - 5 | = x +1
b, | 3x - 2 | -1 = x
c, | 3x - 7 | = 2x + 1
d, | 2x-1 | +1 = x
Tìm x:
a)\(2.\left(3x-\frac{1}{2}\right)-2x=\frac{1}{2}\left(2x-3\right)\)
b)\(\left(2x-\frac{3}{5}\right)^2=\frac{4}{25}\)
c)\(\left(3x-1\right)^3=27\)
d)\(5-\left|x\right|=2\)
e)|2x+1|-3=3
f)|3-2x|=5
\(\left(5-x\right)\left(3x-\frac{1}{4}\right)=0\)
tìm số nguyên x, biết:
a, \(\left(\frac{1}{5}\right)^x=\left(\frac{1}{125}\right)^3\)
b, \(\left(\frac{3}{5}\right)^x=\left(\frac{9}{25}\right)^3\)
c,\(2^{3-2x}=8^3\)
d, \(2^{3x+1}=32^2\)
e, \(3^{6-3x}=81^3\)
a) (2x-1)^3=27
b) (2x-1)^4=81
c) (x-2)^5=-32
d) (3x-1)^4=(3x-1)^6
đ) 5^x +5^x+2=650
g) 3^x-1 +5.3^x-1=162
\(4^x+4^{x+3}=2160\)
\(2^{x-1}+5.2^{x-2}=\frac{7}{32}\)
\(\left(8-3x\right)^5=\left(8-3x\right)^3\)
\(\left(2x-3\right)^4=\left(2x-3\right)^6\)
a) 3x- 2 Ix-1I = 5
b) \(\frac{3}{2}\left(1-\frac{1}{2}x\right)-5=4-3\left(2x-3\right)\)
c) \(\left(\frac{4}{5}-\frac{3}{2}x\right):\left(\frac{1}{2}-\frac{1}{5}\right)=\frac{2}{3}x-1\)
3^x+2+5.3^x+1=648
2^2x+1+2^2x+3=3^2.8^4
Tìm số tự nhiên x
tìm X
1)\(\left(\frac{2x}{3}-3\right):\left(-10\right)=\frac{2}{5}\)
2)\(|2x-1|+1=4\)
3)\(\left(3x-7\right)^2=36\)
4)\(2^2.8^{x-1}=32\)
5) 7(x-2) + 2x(2-x)=0
chứng minh rằng các biểu thức sau không phụ thuộc vào x:
a. \(A=\left(3x+7\right)\left(2x+3\right)-\left(3x-5\right)\left(2x+11\right)\)
b. \(B=\left(x^2-2\right)\left(x^2+x-1\right)-x\left(x^3+x^2-3x-2\right)\)
c. \(C=x\left(x^3+x^2-3x-2\right)-\left(x^2-2\right)\left(x^2+x-1\right)\)