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Nguyễn Khánh Phương
Bài 1 :
a) 149 - ( 35 : x + 3 ) x 17 = 13
( 35 : x + 3 ) x 17 = 149 - 13
( 35 : x + 3 ) x 17 = 136
( 35 : x + 3 ) = 136 : 17
( 35 : x + 3 ) = 8
35 - x = 8 - 3
35 - x = 5
x = 35 - 5
x = 30
b, 121 : 11 − ( 4x + 5 ) : 3 = 4
11 − 4x + 5 : 3 = 4
4x + 5 : 3 = 11 − 4
4x + 5 : 3 = 7
4x + 5 = 7 x 3
4x + 5 = 21
4x = 21 − 5
4x = 16
x = 16 : 4
x = 4
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TL:
a.\(2^6.2^n=2^{11}\)
\(2^{6+n}=2^{11}\)
\(\Rightarrow n=5\)
b. \(3^7:3^n=3^4\)
\(3^{7-n}=3^4\)
\(\Rightarrow n=3\)
c.\(2^n.32=2^{10}\)
\(2^{n+5}=2^{10}\)
\(\Rightarrow n=5\)
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a) \(\frac{3}{7}-\frac{1}{7}x=\frac{2}{3}\)
=> \(\frac{1}{7}x=\frac{3}{7}-\frac{2}{3}=-\frac{5}{21}\)
=> \(x=-\frac{5}{21}:\frac{1}{7}=-\frac{5}{21}\cdot7=-\frac{5}{3}\)
b) \(3x^2-2=72\)=> 3x2 = 74 => x2 = 74/3 => x không thỏa mãn
c) \(\left(19x+2\cdot5^2\right):14=\left(13-8\right)^2-4^2\)
=> \(\left(19x+2\cdot25\right):14=5^2-4^2=9\)
=> \(\left(19x+50\right):14=9\)
=> \(19x+50=126\)
=> \(19x=76\)
=> x = 4
d) \(x:\frac{1}{2}+x:\frac{1}{4}+x:\frac{1}{8}+x:\frac{1}{16}+x:\frac{1}{32}=343\)
=> \(x\cdot2+x\cdot4+x\cdot8+x\cdot16+x\cdot32=343\)
=> \(x\left(2+4+8+16+32\right)=343\)
=> x . 62 = 343
=> x = 343/62
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=( 23./x-1/+32).57=59 =(8./x-1/+9)=59:57 = 8./x-1/ +9=25 =8./x-1/=25-9 8./x-1/=16 /x-1/=16:8 /x-1/=2 x=2+1 x=3
![](https://rs.olm.vn/images/avt/0.png?1311)
\(5^2.n-3-2.5^2=5^2.3\)
\(\Rightarrow25n-3-2.25=25.3\)
\(\Rightarrow25.n-3-50=75\)
\(\Rightarrow25.n-53=75\)
\(\Rightarrow25.n=128\)
\(\Rightarrow n=\frac{128}{25}\)
\(5\cdot x+x=150:2+3\)
\(x\cdot\left(5+1\right)=75+3\)
\(x\cdot6=78\)
\(x=78:6\)
\(x=13\)
\(2^x:2^5=1\)
\(2^{x-5}=2^0\)
\(\Rightarrow x-5=0\)
\(x=5\)
\(5x+x=150:2+3\)
\(\Rightarrow\) \(6x=78\)
\(\Rightarrow\) \(x=13\)
\(2^x:2^5=1\)
\(\Rightarrow\) \(2^{x-5}=1\)
\(\Rightarrow\) \(x-5=1\)
\(\Rightarrow\) \(x=6\)