X÷6×7.2+1.3×X+X÷2+15=19.95
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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
\(\dfrac{5}{8}x-\dfrac{1}{3}x-\dfrac{1}{6}x=15\)
\(\Rightarrow x\left(\dfrac{5}{8}-\dfrac{1}{3}-\dfrac{1}{6}\right)=15\)
\(\Rightarrow x\left(\dfrac{15}{24}-\dfrac{8}{24}-\dfrac{4}{24}\right)=15\)
\(\Rightarrow x.\dfrac{3}{24}=15\)
\(\Rightarrow x.\dfrac{1}{8}=15\Rightarrow x=15:\dfrac{1}{8}=15.\dfrac{8}{1}=120\)
1)
a) 63 : 32 + 7 . 23
= 63 : 9 + 7 . 4
= 7 + 7 . 4
= 7 + 28
= 35
b) 23 . 15 - [ 115 - 15 . ( 13 - 11 )2 ]
= 8 . 15 - [ 115 - 15 . 22 ]
= 8 . 15 - [ 115 - 15 . 4 ]
= 8 . 15 - [ 115 - 60 ]
= 8 . 15 - 55
= 120 - 55
= 65
c) 53 . 46 + 54 . 74 - 54 . 21
= 53 . 46 + 54 . ( 74 - 21 )
= 53 . 46 + 54 . 53
= 53 . ( 46 + 54 )
= 53 . 100
= 5300
2)
a) 3x - 5 = 2
3x = 2 + 5
3x = 7
x = 7 : 3
x = 2,33333....33 ( có 11 chữ số 3 nhưng 2,3333...33 không phải là số tự nhiên )
b) 46 + 6 ( x - 5 ) = 52
6 ( x - 5 ) = 52 - 46
6 ( x - 5 ) = 6
x - 5 = 6 : 6
x - 5 = 1
x = 1 + 5
x = 6
Bài 2
a 3x-5=2
=> 3x=7
=> x=7/3
b 46+6(x-5)=52
=> 6(x-5)=6
=> x-5=1
=> x=6 ( tick nhé )
\(x\div6\times7,2+1,3\times x+x\div2+15=19,95\)
\(\Leftrightarrow x\times\frac{1}{6}\times7,2+1,3\times x+x\times\frac{1}{2}=19,95-15\)
\(\Leftrightarrow x\times1,2+x\times1,3+x\times\frac{1}{2}=4,95\)
\(\Leftrightarrow x\times\left(1,2+1,3+\frac{1}{2}\right)=4,95\)
\(\Leftrightarrow x\times3=4,95\)
\(\Leftrightarrow x=4,95\div3\)
\(\Leftrightarrow x=1,65\)
Vậy x = 1,65