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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
2x-1 - 2x = 32
2x-1 - 2x = 25
Vì x - 1 < x nên phép tính này sai
- 330. (x-2)=(332 -331) =>330,(x-2)=330(32-3)=>x-2=6=>x=8
- (x-3)3=125=>x-3=5=>x=8
- (2x+1)3=343=>2x+1=7=>x=3
- 16x <1284=>(24)x <(27)4=>24x<228=>4x<28=>x<7
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
tinh tong cua 11,10,9,8,7,6,5,..........,-37,-38
-675 nha ban