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a. 1440 : [ 120 - (3x + 9 ) ] = 120
120 - (3x + 9) = 1440 : 120 = 12
3x + 9 = 120 - 12 = 108
3x = 108 - 9 = 99
x = 99 : 3 = 33
b. 120 + [ ( 999 - 9x ) : 60 ] . 24 = 480
[ ( 999 - 9x ) : 60 ] . 24 = 480 - 120 = 360
( 999 - 9x ) : 60 = 360 : 24 = 15
( 999 - 9x ) = 15 . 60 = 900
9x = 999 - 900 = 99
x = 99 : 9 = 11
Bài 1:
a) (2^9 . 3 + 2^9 . 5) : 2^12
= [2^9 . (3 + 5)] : 2^12
= [2^9 . 8] : 2^12
= [2^9 . 2^3] : 2^12
= 2^12 : 2^12
= 1
b) 13^2 - (5^2 . 4 + 2^2 . 15)
= 13^2 - (5^2 . 4 + 4 . 15)
= 13^2 - [4 . (5^2 + 15)]
= 13^2 - [4 . (25 + 15)]
= 13^2 - [4 . 40]
= 13^2 - 160
= 13^2 - 40^2
= -27^2
= 729
Bài 2:
a) 30 . (2^2 . 15 - x) = 30
2^2 . 15 - x = 30 : 30
2^2 . 15 - x = 1
4 . 15 = 1 + x
60 = 1 + x
=> x = 60 - 1
x = 59
Bài 2:
b) 2^4 . 38 - 2^4 . x = 16
16 . (38 - x) = 16
38 - x = 16 : 16
38 - x = 1
x = 38 - 1
x = 37
c) (7 . x - 11^3) = 2^5 . 5^2 + 200
(7 . x - 11^3) = 2^5 . 5^2 + 5^2 . 2^3
(7 . x - 11^3) = 5^2 . (2^5 + 2^3)
(7 . x - 11^3) = 25 . 40
(7 . x - 1331) = 1000
7 . x = 1000 + 1331
7 . x = 2331
x = 2331 : 7
x = 333.
Bài 1:
a, 96 \(⋮x=>x\inư\left(96\right)\)
b, \(2^x.15+2^x.17=4^{30}\)
\(2^x\left(15+17\right)=4^{30}\)
\(2^x.32=4^{30}\)
\(2^x.2^5=2^{60}\)
\(2^x=2^{60}:2^5\)
\(2^x=2^{55}\)
=> x = 55
a ) 16x : 4x = 16
(16:4)x=16
4x=42 hoặc (-4)2
Vậy x=2
b) ( 2x + 1 )3 = -64
( 2x + 1 )3 = (-4)3
2x+1=-4
2x=-5
x=\(-\frac{5}{2}\)
Vậy x=\(-\frac{5}{2}\)
c ) ( 3x - 1 )2 = 16
( 3x - 1 )2 = 42=(-4)2
Suy ra:3x-1=4;3x=5;x=\(\frac{5}{3}\)
3x-1=-4;3x=-3;x=-1
Vậy x=-1;\(\frac{5}{3}\)
d ) 9x+1 = 32
9x+1 = 91
x+1=1
x=0
Vậy x=0
a) 16x : 4x = 16
=> ( 16 : 4 )x = 16
=> 4x = 16
<=> 4x = 42
=> x = 2
b) ( 2x + 1 ) 3 = -64
=> ( 2x + 1 )3 = ( -4 )3
=> 2x + 1 = -4
=> 2x = -4 - 1
=> 2x = -5
=> x = \(-\frac{5}{2}\)
c) ( 3x - 1 )2 = 16
\(\Rightarrow\begin{cases}\left(3x-1\right)^2=4^2\\\left(3x-1\right)^2=\left(-4\right)^2\end{cases}\)\(\Rightarrow\begin{cases}3x-1=4\\3x-1=-4\end{cases}\)\(\Rightarrow\begin{cases}x=\frac{5}{3}\\x=-1\end{cases}\)
d) 9x+1 = 32
=> (32 ) x+1 = 32
=> 32.(x+1) = 32
=> 2(x + 1 ) = 2
=> x + 1 = 1
=> x = 0
\(a,3x-30=3^5:3^2\\ \Rightarrow3x-30=3^3\\ \Rightarrow3x-30=27\\ \Rightarrow3x=57\\ \Rightarrow x=19\\ b,120-4\left(9+x\right)=16\\ \Rightarrow4\left(9+x\right)=104\\ \Rightarrow9+x=26\\ \Rightarrow x=17\)