Biết: x × 2 = 54 + 10.
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Bài 3:
\(24^{54}\cdot54^{24}\cdot2^{10}\)
\(=\left(2^3\cdot3\right)^{54}\cdot\left(3^3\cdot2\right)^{24}\cdot2^{10}\)
\(=2^{108}\cdot3^{54}\cdot3^{72}\cdot2^{24}\cdot2^{10}\)
\(=2^{142}\cdot3^{78}\)
\(72^{63}=\left(2^3\cdot3^2\right)^{63}=2^{189}\cdot3^{126}⋮2^{142}\cdot3^{78}\)(ĐPCM)
![](https://rs.olm.vn/images/avt/0.png?1311)
a)x-289=0 d)31+x=928-128
x =0+289 x=800-31
x =289 x=769
Vây x=289 Vậy x=769
b)84-x=54:54 e)5x=1505
84-x=1 x=301
x=84-1 Vậy x=301
x=83 f)4.x=4088
Vậy x=83 x=1022
c)7.x=704+10 Vậy x=1022
x=714:7 nha!
x=102
Vậy x=102
(x-289).47=0
x-289=0:47
x-289=0
\(\Rightarrow\)x=0+289
Vậy x=289
54.(84-x)=54
84-x=54:54
84-x=1
\(\Rightarrow\)x=84-1
Vậy x=83
7.x-10=704
7.x=704+10
7.x=714
\(\Rightarrow\)x=714:7
Vậy x=102
928-(31+x)=128
31+x=928-128
31+x=800
\(\Rightarrow\)x= 800-31
Vậy x=769
2.x+3.x=1505
(2+3).x=1505
5.x=1505
\(\Rightarrow\)x=1505:5
Vậy x= 301
5.x-x=4088
(5-1).x=4088
4.x=4088
x=4088:4
Vậy x= 1022
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a, vì GTTD của x<10
suy ra x thuộc vào giá trị 9,8,7,6,5,4,3,2,1,-1,-2,-3,-4,-5,-6,-7,-8,-9
b, suy ra x+(-8)=13
x=13-(-8)
x =21
c, suy ra (-2).x=54
x=54:(-2)
x=-27
đúng 100%luôn
a)|x|<10
=>-10<x<10
=>x\(\in\){-9;-8;-7;-6;-5;-4;-3;-2;-1;0;1;2;3;4;5;6;7;8;9}
Vậy x\(\in\){-9;-8;-7;-6;-5;-4;-3;-2;-1;0;1;2;3;4;5;6;7;8;9}
b)|x|+|-8|=|13|
=>|x|+8=13
=>|x| =13-8
=>|x| =5
=>x=5 hoặc x=-5
Vậy x\(\in\){5;-5}
c)Làm tương tự nha
Chúc bn học tốt
![](https://rs.olm.vn/images/avt/0.png?1311)
\(\dfrac{4}{x}=\dfrac{y}{21}=\dfrac{28}{49}=\dfrac{28:7}{49:7}=\dfrac{4}{9}\\ Vậy:x=\dfrac{4.9}{4}=9\\ y=\dfrac{4.21}{9}=\dfrac{28}{3}\)
\(\dfrac{x}{2}=\dfrac{3}{y}\\ \Leftrightarrow x.y=2.3=6\\ Vậy:\left[{}\begin{matrix}\left(x;y\right)=\left(1;6\right)=\left(6;1\right)\\\left(x;y\right)=\left(2;3\right)=\left(3;2\right)\end{matrix}\right.\)
![](https://rs.olm.vn/images/avt/0.png?1311)
24^54 x 54^24 x 2^10=(2^3.3)^5 x (3^3.2)^24...
=(2^3)^54 x 3^54 x (3^3)^24 x 2^24 x 2^10
= 2^162 x 2^24 x 2^10 x 3^54 x 3^72
=2^196 x 3^126
72^63=(2^3 x 3^2)^63
=(2^3)^63 x (3^2)^63= 2^18 x 3^126
Vì 2^196 x 3^126 chia hết 2^189 x 3^126
=>24^54 x 54^24 x 2^10 chia hết 72^63
x × 2 = 54 + 10
x × 2 = 64
x = 64 : 2
x = 32