115- x : 5 = 20
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a, (-115)+(-40)+115+|-35|
=[(-115) +115] + [(-40) +35]
=-5
b)[ 189 - (34+20-5)] : 20
= (189-49) :20
= 140:20 =7
2.a) x-15= 20.22
<=> x-15 = 80
<=> x=80 + 15
<=> x=95
VẬy x=95
b) 48 +5(x-3) = 63
<=> 5(x-3) = 63-48
<=> 5(x-3) =15
<=> x-3 = 15:5
<=>x-3 = 3
<=> x=6
Vậy x=6
c) |x| -2 = 7-(-8)
<=> |x| -2 = 15
<=> |x| =15+2
<=> |x| = 17
<=>\(\left[{}\begin{matrix}x=17\\x=-17\end{matrix}\right.\)
Vậy x=17 hoặc x=-17
(617/191+29/33-115/117)*(1/4-1/5-1/20)
= (617/191+29/33-115/117)*(5/20-4/20-1/20)
=(617/191+29/33-115/117)*0
=0
115 + 3 . ( x - 2 ) = 295
3 . ( x - 2 ) = 295 - 115
3 . ( x - 2 ) = 180
x - 2 = 180 : 3
x - 2 = 60
x = 60 + 2
x = 62
16 : 2 . x = 9
x = ko tính được
20 - ( x +14 ) = 5
x + 14 = 20 - 5
x + 14 = 15
x = 15 - 14
x = 11
57 : ( 9 . x - 27 ) = 0
vì số nào chia 0 thì bằng 0 mà 27 : 9 = 3 nên
x = 3
Tìm x:
115+3.(x-2)= 295 16:2.x= 9 20-(x+14)=5 57:(9x-27)=0
3.(x-2)= 295-115 2.x= 16:9 x+14= 20-5 9x-27= 0
3.(x-2)= 180 2.x= 16/9. x+14= 15. 9x= 27
x-2= 180:3 x= \(\frac{16}{9}:2\) x= 15-14 x= 27:9
x-2= 60 \(x=\frac{16}{9}.\frac{1}{2}\) x= 1 x= 3
x= 60+2 \(x=\frac{8}{9}\)
x= 62
-115-(17+2x)=20
=>\(2x+17=-115-20=-135\)
=>\(2x=-135-17=-152\)
=>\(x=-\dfrac{152}{2}=-76\)
\(-115-\left(17+2x\right)=20\)
\(=>17+2x=\left(-115\right)-20\)
\(=>17+2x=-135\)
\(=>2x=\left(-135\right)-17\)
\(=>2x=-152\)
\(=>x=\left(-152\right):2\)
\(=>x=-76\)
1: =>3^x=81
=>x=4
2: =>2^x=8
=>x=3
3: =>x^3=2^3
=>x=2
4: =>x^20-x=0
=>x(x^19-1)=0
=>x=0 hoặc x=1
5: =>2^x=32
=>x=5
6: =>(2x+1)^3=9^3
=>2x+1=9
=>2x=8
=>x=4
7: =>x^3=115
=>\(x=\sqrt[3]{115}\)
8: =>(2x-15)^5-(2x-15)^3=0
=>(2x-15)^3*[(2x-15)^2-1]=0
=>2x-15=0 hoặc (2x-15)^2-1=0
=>2x-15=0 hoặc 2x-15=1 hoặc 2x-15=-1
=>x=15/2 hoặc x=8 hoặc x=7
1. Tìm số tự nhiên x biết:
1) \(3^x.3=243\)
\(3^x=243:3\)
\(3^x=81\)
\(3^x=3^4\)
\(\Rightarrow x=4\)
_____
2) \(7.2^x=56\)
\(2^x=56:7\)
\(2^x=8\)
\(2^x=2^3\)
\(\Rightarrow x=3\)
_____
3) \(x^3=8\)
\(x^3=2^3\)
\(\Rightarrow x=3\)
_____
4) \(x^{20}=x\)
\(x^{20}-x=0\)
\(x\left(x^{19}-1\right)=0\)
\(\Rightarrow x=0\) hoặc \(x=1\)
5) \(2^x-15=17\)
\(2^x=17+15\)
\(2^x=32\)
\(2^x=2^5\)
\(\Rightarrow x=5\)
_____
6) \(\left(2x+1\right)^3=9.81\)
\(\left(2x+1\right)^3=729=9^3\)
\(\rightarrow2x+1=9\)
\(2x=9-1\)
\(2x=8\)
\(x=8:2\)
\(\Rightarrow x=4\)
_____
7) \(x^6:x^3=125\)
\(x^3=125\)
\(x^3=5^3\)
\(\Rightarrow x=5\)
_____
8) \(\left(2x-15\right)^5=\left(2x-15\right)^3\)
\(\rightarrow\left(2x-15\right)^5-\left(2x-15\right)^3=0\)
\(\left(2x-15\right)^3.\left[\left(2x-15\right)^2-1\right]=0\)
\(\Leftrightarrow\left\{{}\begin{matrix}\left(2x-15\right)^3=0\\\left(2x-15\right)^2-1=0\end{matrix}\right.\Leftrightarrow\left[{}\begin{matrix}x=\dfrac{15}{2}\\x=7\\x=8\end{matrix}\right.\)
_____
9) \(3^{x+2}-5.3^x=36\)
\(3^x.\left(3^2-5\right)=36\)
\(3^x.\left(9-5\right)=36\)
\(3^x.4=36\)
\(3^x=36:4\)
\(3^x=9\)
\(3^x=3^2\)
\(\Rightarrow x=2\)
_____
10) \(7.4^{x-1}+4^{x+1}=23\)
\(\rightarrow7.4^{x-1}+4^{x-1}.4^2=23\)
\(4^{x-1}.\left(7+4^2\right)=23\)
\(4^{x-1}.\left(7+16\right)=23\)
\(4^{x-1}.23=23\)
\(4^{x-1}=23:23\)
\(4^{x-1}=1\)
\(4^{x-1}=4^1\)
\(\rightarrow x-1=0\)
\(x=0+1\)
\(\Rightarrow x=1\)
Chúc bạn học tốt
\(2^5.3^2+2^5.11-2^6.5-5\)
\(=2^5.9+2^5.11-2^5.2^1.5-5\)
\(=2^5.\left(9+11-2.5\right)-5\)
\(=32.\left(9+11-10\right)-5\)
\(=32.10-5\)
\(=320-5\)
\(=315\)
\(-2017-\left[\left(15-2017\right)+\left(-115\right)\right]\)
\(=-2017-\left[\left(-2002\right)+\left(-115\right)\right]\)
\(=-2017-\left(-2117\right)\)
\(=-2017+2117\)
\(=100\)
Vì 24 chia hết cho x, 120 chia hết cho x và 10<x<20 nên x ƯC(24,120)
Ta có : 24 =12.2 ; 120= 10.12
ƯCLN(24,120) = 12
Mà Ư(12) = { 1,2,3,4,6,12}
=>ƯC(24,120) = { 1,2,3,4,6,12}
Vì 10<x<20
=> x = 12
Vậy x = 12
3.|x-1| = 28:23 + 20170
3.|x-1| = 25+ 1
3.|x-1| = 32 + 1
3.|x-1| = 33
|x-1| = 33 : 3
|x-1| =11
=> x -1 =11
x = 11+1
x = 22
\(115-x\div5=20\)
\(x\div5=115-20\)
\(x\div5=95\)
\(x=95\times5\)
\(x=475\)
115 - x : 5 = 20
x : 5 = 115 - 20
x : 5 = 95
x = 95 x 5
x = 475
Hok tốt