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72x-3 -5.72 = 7 2 .2
72 .7x - 3 - 5 . 72 = 72 .2
72 . 7x - 3 = 72 .2 + 5.72
72 . 7x - 3 = 72.7
72 .7x-3 = 7 3
7x - 3 = 73 : 72
7x - 3 = 71
x - 3 = 1
x = 1+3
x = 4
a. => \(2^{6+x}=2^{10}\)
=> 6+x=10
=> x=10-6
Vậy x=4.
b. => \(7^{3x-1}:7^2=7^6\)
=> 73x-1-2=76
=> 73x-3=76
=> 3x-3=6
=> 3x=6+3
=> 3x=9
Vậy x=3.
c. =>\(7^{5x-1}-25=24\)
=>75x-1=24+25
=>75x-1=49
=>75x-1=72
=>5x-1=2
=>5x=3
Vậy x=\(\frac{3}{5}\).
d. => \(10^{x-3}=10^0\)
=>x-3=0
Vậy x=3.
e. => 2x=10
=> x=10:2
Vậy x=5.
a)
204-84:12
=204-7
=197
b)
15.23+4.32-5.7
=15.8+4.9-5.7
=120+36-35
=156-35
=121
c)
56:53+23.22
=56-3+23+2
=53+25
=125+32
=157
d)
164.53+47.164
=(164.(53+47)
=164.100
=16400
tìm x:
219-7(x+1)=100
=>7(x+1)=219-100
=>7(x+1)=119
=>x+1=119:7
=>x+1=17
=>x=17-1
=>x=16
(3x-6).3=34
=>(3x-6).3=81
=>3x-6=81:3
=>3x-6=27
=>3x=27+6
=>3x=33
=>x=33:3
=>x=11
\(a,2x^5+2=4\)=> \(2x^5=2\)=> \(x^5=1\)=> x = 1
\(b,(x-2)^2=144\)
=> \((x-2)^2=12^2\)
=> \(x-2=\pm12\)
=> \(\orbr{\begin{cases}x-2=12\\x-2=-12\end{cases}}\)=> \(\orbr{\begin{cases}x=14\\x=-10\end{cases}}\)
\(c,(2x+1)^2=49\)
=>\((2x+1)^2=7^2\)
=> \(2x+1=\pm7\)
=> \(\orbr{\begin{cases}2x+1=7\\2x+1=-7\end{cases}}\)=> \(\orbr{\begin{cases}2x=6\\2x=-8\end{cases}}\)=> \(\orbr{\begin{cases}x=3\\x=-4\end{cases}}\)
e, Tương tự
Câu 2 :
a) 2x - 32 = 18
2x = 18 + 32
2x = 50
x = 50 : 2
x = 25
Vậy x = 25
c) l x - 3 l = 1
=> \(\orbr{\begin{cases}x-3=1\\x-3=-1\end{cases}}\)=> \(\orbr{\begin{cases}x=1+3\\x=-1+3\end{cases}}\)=> \(\orbr{\begin{cases}x=4\\x=2\end{cases}}\)
Vậy x thuộc { 2 , 4 }
a) 113 - ( 5.72 - 4.23 )
= 113 - ( 5 . 49 - 4 . 8 )
= 113 - ( 245 - 32 )
= 113 - 213
= - 100
\(1,2x+3x-4x=\left(-2\right)^3\)
<=>\(x=-8\)
\(2,x-2x=4^2+4^0\)
<=>\(-x=16+1\)
<=>\(-x=17\)
<=>\(x=-17\)
\(3,2^3x-3^2x=|12-21|\)
<=>\(-x=9\)
<=>\(x=-9\)
\(4,x-45=2x+54\)
<=>\(x-2x=54+45\)
<=>\(-x=99\)
<=>\(x=-99\)
\(5,5x-12+23=6^7:6^5\)
<=>\(5x+11=6^2\)
<=>\(5x+11=36\)
<=>\(5x=25\)
<=>\(x=5\)
7^(2x+1)-245=98
7^2x+1=98+245=343=7^3
2x+1=3
2x=3-1
2x=2
x=2:2
x=1
\(7^{2x+1}-5.7^2=49.2\)
\(7^{2x}.7-5.7^2=98\)
\(7.\left(7^{2x}-5.7\right)=98\)
\(7^{2x}-35=98:7\)
\(7^{2x}-35=14\)
\(7^{2x}=14+35\)
\(7^{2x}=49\)
\(7^{2x}=7^2\)
\(2x=2\)
\(x=1\)