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a) (5x - 12 ) : 4 = 318 : 315
( 5x - 12 ) : 4 = 33
( 5x - 12 ) : 4 = 27
5x - 12 = 108
5x = 120
x = 24
b) 5x3 - 102 = 35
5x3 - 100 = 35
5x3 = 135
x3 = 27
x3 = 33
=> x = 3
c) 65 - 4x+2 = 20180
65 - 4x+2 = 1
4x+2 = 64
4x+2 = 43
x + 2 = 3
=> x = 1
d) 2x+1 - 2x = 32
2x . ( 2 - 1 ) = 32
2x . 1 = 32
2x = 32
2x = 25
=> x = 5
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1, 4\(^{x+1}\) + 4\(^0\) = 65
\(\Rightarrow\)4\(^{x+1}\) = 65 - 1
\(\Rightarrow\)x + 1 = 64 : 4
\(\Rightarrow\)x + 1 = 16
\(\Rightarrow\)x = 15
2) 10 + 2x = 16\(^{^2}\): 4\(^3\)
\(\Rightarrow\)10 + 2x = 4
\(\Rightarrow\)2x = 4 - 10
\(\Rightarrow\)2x = -6
\(\Rightarrow\)x = -3
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a, \(\left(7.4^x+8.4^{x+1}\right).5=3120\)
\(7.4^x+8.4^x.4=3120:5\)
\(4^x\left(7+32\right)=624\)
\(4^x=624:39\)
\(4^x=16=4^2\)
\(\Rightarrow x=2\)
b, \(2018^2.2018^x=2018^6\)
\(2018^x=2018^6:2018^2=2018^4\)
\(\Rightarrow x=4\)
c, \(3^{x-2}-19=62\)
\(3^x:3^2=62+19\)
\(3^x=81.9=729=3^6\)
\(\Rightarrow x=6\)
d, \(5^{x+2}-5^{x+1}=2500\)
\(5^x\left(25-5\right)=2500\)
\(5^x=2500:20=125=5^3\)
\(\Rightarrow x=3\)
e, \(\left[\left(46-32\right)^2-\left(54-42\right)^2\right].2x-1872=0\)
\(\left[14^2-12^2\right].2x=1872\)
\(\left[196-144\right].2x=1872\)
\(52.2x=1872\)
\(2x=1872:52=36\)
\(\Rightarrow x=36:2=18\)
:)))
HỌC TỐT !
a) ( 7. 4x + 8 . 4x+1 ) . 5 = 3120
=> 7 . 4x + 8 . 4x . 41 = 624
=> 4x ( 7 + 8 . 4 ) = 624
=> 4x . 39 = 624
=> 4x = 16
=> 4x = 42
=> x = 2
b) 20182 . 2018x = 20186
=> 2018x = 20184
=> x = 4
c) 3x-2 - 19 = 62
=> 3x-2 = 81
=> 3x-2 = 34
=> x - 2 = 4
=> x = 6
d) 5x+2 - 5x+1 = 2500
=> 5x . 52 - 5x . 5 = 2500
=> 5x ( 52 - 5 ) = 2500
=> 5x . 20 = 2500
=> 5x = 125
=> 5x = 53
=> x = 3
e) [ ( 46 - 32 )2 - ( 54 - 42 )2 ] . 2x - 1872 = 0
=> [ 142 - 122 ] . 2x = 1872
=> [ 196 - 144 ] . 2x = 1872
=> 52 . 2x = 1872
=> 2x = 36
=> x = 18
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\(\left(x-1\right)^{10}=0\)
\(\Leftrightarrow x-1=0\)
\(\Leftrightarrow x=1\)
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câu 1: 10+9(2^5+2^3):5-2018= 10+9(32+8):5-1= 10+9.40:5-1= 10+360:5-1= 10+72-1=92-1=91
câu 2:mình chưa học số âm bạn nhé
B,2(x+17):8=5
2(x+17)=5.8
2(x+17)=40
x+17=40:2
x+17=20
x=20-17
x=3
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a, \(\left(2x+7\right)^4=10^{11}:10^7\)
\(\Rightarrow\left(2x+7\right)^4=10^4\)
\(\Rightarrow2x+7=10\)
\(\Rightarrow2x=10-7\)
\(\Rightarrow2x=3\)
\(\Rightarrow x=\dfrac{3}{2}\) hay \(x=1,5\)
b, \(5^{x-1}.7^{x-1}=25.49\)
\(\Rightarrow\)\(5^{x-1}.7^{x-1}=5^2.7^2\)
\(\Rightarrow\left\{{}\begin{matrix}5^{x-1}=5^2\\7^{x-1}=7^2\end{matrix}\right.\) \(\Rightarrow\left\{{}\begin{matrix}x-1=2\\x-1=2\end{matrix}\right.\) \(\Rightarrow\left\{{}\begin{matrix}x=3\\x=3\end{matrix}\right.\)
c, \(\left(x-5\right)^{2018}=9.\left(x-5\right)^{2016}\)
\(\Rightarrow\dfrac{\left(x-5\right)^{2018}}{\left(x-5\right)^{2016}}=9.\dfrac{\left(x-5\right)^{2016}}{\left(x-5\right)^{2016}}\)
\(\Rightarrow\left(x-5\right)^2=9\)
\(\Leftrightarrow\left(x-5\right)^2=3^2\)
\(\Rightarrow x-5=3\)
\(\Rightarrow x=3+5\)
\(\Rightarrow x=8\)
191 - [ 10^2 - ( 97 - 94^2 ) x 2018^0
= 191 - [ 10^2 - 3^2 ] x 1
= 191 - [ 100 - 9 ] x1
=191 - 91 x 1
=100
Sửa đề:
191 - [ 102 - ( 97 - 94) 2 x 20180 ]
= 191 - [ 100 - 32 x 1 ]
= 191 - [ 100 - 9 x 1 ]
= 191 - [ 100 - 9 ]
= 191 - 91
= 100