a, \(2^{x-1}=16\)
\(2^{x-1}=2^4\)
=> x - 1 = 4
x = 4 + 1 = 5
b, \(\left(x-1\right)^2=25\)
\(\left(x-1\right)^2=\pm5^2\)
=> x - 1 = 5 hoặc -5
=> x = 6 hoặc -4
1)a,\(\frac{x-7}{6}=\frac{2^3}{16}\)
b, (-0,75x) :3 = \(\left(-2\frac{1}{2}\right)\):0,125
c, \(\left(x-2019^{2020}\right)=1\)
d, \(\left|2,6-x\right|=1,5\)
e, \(\left|x\right|=2019\) và x < 0
2)a, \(\frac{x}{4}\)=\(\frac{y}{9}\) và x-yz=90
b,x:y=2:5 và x+y =-28
c,7x=2y và x-y=20
d,x=\(\frac{y}{2}\)=\(\frac{z}{3}\) và 4x-3y+2z=16
e,\(\frac{x}{y}=\frac{10}{9};\frac{x}{z}=\frac{3}{4}\) và x-y+z =78
Bài 1 Tính
a) 45^10x5^10/75^10
b ) 2^15.9^4/6^3.8^3
c ) (0.8)^5/(0.4)^6
d ) 8^10+4^10/8^4+4^11
Bài 2 Tìm x
a ) (5x-1).(2x-1/3)=0
b) \(^{2^{x-1}}\)= 16
c ) 3^4<1/9.27^x<3^10
a) Tính giá trị biểu thức sau:
\(\dfrac{9^4.8^6}{6^{10}.16^3}\)
b) Tìm x:
1/ \(\left(\dfrac{4}{5}x-1\right).\left(6x+\dfrac{1}{2}\right)=0\)
2/
\(\left(2x+1\right)^2=25\)
3/
x:8,5=0,69:(-1,15)
4/
3(3x+5)-2(6-2x)=10
5/
\(\sqrt{x}=2,5\)
6/
\(3^{X-1}+5.3^{x-1}=162\)
7/
\(\dfrac{X-5}{1}+\dfrac{X-5}{2}+\dfrac{X-5}{3}+\dfrac{X-5}{4}=0\)
Bài 1: Cho P= 7+72+73+74+.........+72016. Chứng minh P chia hết cho 400.
Bài 2: Tìm giá trị lớn nhất
a) A= | x - 1004 | - | x+1003 |
b) B = | x - 2018 | - | x - 2017 |
Bài 3 : Cho \(\dfrac{2x-4y}{3}=\dfrac{4z-3y}{2}=\dfrac{3y-2z}{4}\) . Tìm x,y,z biết 2x-y+z = 27
Bài 4: Tìm các số thực x,y,z biết \(\dfrac{x+y-3}{z}=\dfrac{y+z+1}{x}=\dfrac{x+z+2}{y}=\dfrac{1}{x+y+z}\)
Bài 5 : a) Tính : \(\dfrac{1}{1.3}+\dfrac{1}{3.5}+\dfrac{1}{5.7}+.....+\dfrac{1}{19.21}\)
b) Chứng minh : \(\dfrac{1}{1.3}+\dfrac{1}{3.5}+...+\dfrac{1}{\left(2n-1\right)\left(2n-1\right)}\) < \(\dfrac{1}{2}\)
a,Tìm x,y,z biết: \(\dfrac{y+z+1}{x}\)=\(\dfrac{x+z+2}{y}\)=\(\dfrac{x+y-3}{z}\)=\(\dfrac{1}{x+y+z}\)
b,Cho \(\dfrac{a}{b}\)=\(\dfrac{b}{c}\)=\(\dfrac{c}{d}\). Chứng minh rằng: (\(\dfrac{a+b+c}{b+c+d}\))3=\(\dfrac{a}{d}\)
c,Cho \(\dfrac{a}{b}\)=\(\dfrac{c}{d}\). Chứng minh rằng: \(\dfrac{5a+3b}{5c+3d}\)=\(\dfrac{5a-3b}{5c-3d}\)
d,Cho \(\dfrac{3x-2y}{4}\)=\(\dfrac{2z-4x}{3}\)=\(\dfrac{4y-3z}{2}\).Chứng minh rằng: \(\dfrac{x}{2}\)=\(\dfrac{y}{3}\)=\(\dfrac{z}{4}\)
BÀI 1:Tính bằng cách hợp lý nhất: | BÀI 2:Tìm x biết:
a) 1\(\frac{4}{23}\)+\(\frac{5}{21}\)-\(\frac{4}{23}\)+0,5+\(\frac{16}{21}\) ; | a) |x+5|-6=9
b) \(23\frac{1}{4}\).\(\frac{7}{5}\)-13\(\frac{1}{4}\):\(\frac{5}{7}\) ; | b) \(\left(x-1\right)^2=25\)
c) \(\frac{2^4.2^6}{\left(2^5\right)^2}-\frac{2^5.15^3}{6^3.10^2}\) |
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BÀI 3:Tìm x biết:
a) \(\frac{x}{12}-\frac{5}{6}=\frac{1}{12}\) e) \(1\frac{1}{2}.x-4=0,5\)
b) \(\frac{2}{3}-1\frac{4}{15}x=\frac{-3}{5}\) f) 2x-1 =16
c) -23 +0.5x=1.5 g) (x-1)2 =25
d) \(\frac{\left(-3\right)^x}{81}=27\) h) |2x-1|=5
a)\(3,6-\left|x-0,4\right|=0\)
b)\(\frac{x}{2}=y=\frac{z}{3}\) và \(x-2y+z=210\)
c)\(\left|x+0,25\right|-4=\frac{1}{4}\)
d)\(x:\left(0,25\right)^4=\left(0,5\right)^2\)
e)\(3^{x-1}+5.3^{x-1}=162\)
f)\(\frac{x}{-25}=\frac{2}{5}\)
g)\(\left|x+\frac{3}{4}\right|-\frac{3}{4}=\sqrt[]{\frac{1}{9}}\)
TÌM X,Y,Z BIẾT:
A.\(\dfrac{1}{x}+\dfrac{1}{y}+\dfrac{1}{z}\) = 3 và 2x = -3y = 4z
B.\(\dfrac{x-1}{2}=\dfrac{y-2}{3}=\dfrac{z-3}{4}\)và x- 2y +3z = 14
bai 1:Chuyen tong thanh tich a,\(x^2+5x+6\) b,\(2x^2+5x+3\)
c,\(x^2-10x+16\) d,\(4x^2+9x+5\)
bai 2 :a, \(A=x^2-3x\) b, \(B=\dfrac{x+1}{2+x}\) c, \(C=\dfrac{x-1}{x^2+5}\)