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\(a)2x^2-98=0\)
\(2x^2=0+98\)
\(2x^2=98\)
\(x^2=98:2\)
\(x^2=49\)
\(\rightarrow x^2=7^2\)
\(\rightarrow x=7\)
Vậy x = 7
![](https://rs.olm.vn/images/avt/0.png?1311)
7x-3.4=196
7x-3=49
x-3=2
x= -1
2x+3+2x=36
2x.9=36
2x=4
x=2
(52x.5x+2):25=1255
53x+2=517
x=5
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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.
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Bài 2 :
a, \(2^x+2^{x+4}=272\)
\(2^x+2^x.2^4=272\)
\(2^x.\left(1+2^4\right)=272\)
\(2^x.17=272\)
\(2^x=272:17\)
\(2^x=16=2^4\)
\(\Rightarrow x=4\)
1: Bài này hơi khó đó
\(\frac{1}{21}+\frac{1}{28}+\frac{1}{36}+...+\frac{1}{x\times\left(x+1\right)\div2}=\frac{2}{9}\)
\(\Rightarrow\frac{1}{6\times\left(6+1\right)\div2}+\frac{1}{7\times\left(7+1\right)\div2}+...+\frac{1}{x\times\left(x+1\right)\div2}=\frac{2}{9}\)
\(\Rightarrow\frac{1}{6\times7\div2}+\frac{1}{7\times8\div2}+...+\frac{1}{x\times\left(x+1\right)\div2}\)
\(\Rightarrow\frac{2}{6\times7}+\frac{2}{7\times8}+...+\frac{2}{x\times\left(x+1\right)}=\frac{2}{9}\)
\(\Rightarrow2\times\left(\frac{1}{6}+\frac{1}{7}-\frac{1}{7}+\frac{1}{8}-\frac{1}{8}+...+\frac{1}{x}-\frac{1}{x+1}\right)=\frac{2}{9}\)
\(\Rightarrow2\times\left(\frac{1}{6}-\frac{1}{x+1}\right)=\frac{2}{9}\)
\(\Rightarrow\left(\frac{1}{6}-\frac{1}{x+1}\right)=\frac{2}{9}\div2\)
\(\Rightarrow\frac{1}{6}-\frac{1}{x+1}=\frac{1}{9}\)
\(\Rightarrow\frac{1}{x+1}=\frac{1}{18}\)
=> x = 18 - 1
=> x = 17
![](https://rs.olm.vn/images/avt/0.png?1311)
a) 2x.23 + 2x = 36
=> 2x. (8 + 1) = 36
=> 2x.9 = 36 => 2x = 4 = 22 => x = 2
b) 3x + 3x.32 + 3x.33 = 35.37
=> 3x. (1 + 32 + 33) = 37
=> 3x. 37 = 35.37 => 3x = 35 => x = 5
c) => 52x+ x+2 = 1252.25
=> 53x+2 = (53)2.52 = 58
=> 3x+2 = 8 => 3x = 6 => x = 2
Vậy..
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a)(2x+4).8-40=24
(2x+4).8=24+40
(2x+4).8=64
2x+4=64:8
2x+4=8
2x=8+4
2x=12
x=12:2
x=6
b)(2x+42)-8=64:2
(2x+16)-8=32
2x+16=32+8
2x+16=40
2x=40-16
2x=24
x=24:2
x=12
c)(3x+2).4-20=24
(3x+2).4=24+20
(3x+2).4=44
3x+2=44:4
3x+2=11
3x=11-2
3x=9
x=9:3
x=3
2^2x x 3^2x =36^24
2^2x x 3^2x = (9.4)^24
2^2x x 3^2x = 9^24 . 4^24
2^2x x 3^2x = (3^2)^24 . (2^2).24
2^2x x 3^2x = 3^48 . 2^48
2^2x x 3^2x = 2^48 . 3^48
2x = 48
x = 48 : 2
x = 24
2x=24=>x=12