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a) 62 . 22.5 :[3.12-(2x -6)] =23.5
36 . 4.5: [36-(2x-6)] = 8.5
720:[36-(2x-6)]= 40
36-(2x-6)= 720:40
36-(2x-6)=18
2x-6=18
2x=24
x=12
b)8x-3x=627:625+44:11
(8-3) .x=627-25+4
5x=62+4
5x=36+4
5x=40
x=8

a) (7x - 11)3 = 25.52 + 200
=> (7x - 11)3 = 1000
=> (7x - 11)3 = 103
=> 7x - 11 = 10
=> 7x = 10 + 11
=> 7x = 21
=> x = 21 : 7
=> x = 3
b) x10 = 1x
=> x10 = 1
=> x10 = 110
=> x = 1
c) x10 = x
=> x10 - x = 0
=> x(x9 - 1) = 0
=> \(\orbr{\begin{cases}x=0\\x^9-1=0\end{cases}}\)
=> \(\orbr{\begin{cases}x=0\\x^9=1\end{cases}}\)
=> \(\orbr{\begin{cases}x=0\\x=1\end{cases}}\)
Vậy...

\(a,\left(27x+6\right):3-11=9\)
\(\Rightarrow\left(27x-6\right):3=20\)\(\Rightarrow27x-6=60\)\(\Rightarrow27x=66\)\(\Rightarrow x=\frac{22}{9}\)
\(b,\left(15-6x\right).3^5=3^6\)
\(\Rightarrow15-6x=3\)\(\Rightarrow6x=12\)\(\Rightarrow x=2\)
\(c,\left(2x-6\right).4^7=4^9\)
\(\Rightarrow2x-6=16\)\(\Rightarrow2x=22\)\(\Rightarrow x=11\)
Bài 1: Tìm x
a,(27.x+6):3-11=9
﴾ 27x + 6﴿ : 3 ‐ 11 = 9
﴾ 27x + 6﴿ : 3 = 20
27x + 6 = 60
27x = 54
x = 54 : 27
x = 2
Vậy x = 2
b,( 15-6x ) . 35=36
( 15 - 6x ) = 36 : 35
15 - 6x = 3
6x = 15 - 3
6x = 12
x = 12 : 6
x = 2
Vậy x = 2
c,( 2x-6 ) . 47=49
2x - 6 = 49 : 47
2x - 6 = 16
2x = 16 + 6
2x = 22
x = 22 : 2
x = 11
Vậy x = 11

7x-x=521:519+3.22-70
=> 6x = 5^2 + 12 -1
=> 6x = 36
=> x = 36/6 = 6
Kết quả 6
Học tốt

\(\dfrac{3}{5.7}+\dfrac{3}{7.9}+...+\dfrac{3}{59.61}\)
= \(\dfrac{2}{2}.\left(\dfrac{3}{5.7}+\dfrac{3}{7.9}+...+\dfrac{3}{59.61}\right)\)
= \(\dfrac{3}{2}.\left(\dfrac{2}{5.7}+\dfrac{2}{7.9}+...+\dfrac{2}{59.61}\right)\)
= \(\dfrac{3}{2}.\left(\dfrac{1}{5}-\dfrac{1}{7}+\dfrac{1}{7}-\dfrac{1}{9}+...+\dfrac{1}{59}-\dfrac{1}{61}\right)\)
= \(\dfrac{3}{2}.\left(\dfrac{1}{5}-\dfrac{1}{61}\right)\)
=\(\dfrac{3}{2}.\dfrac{56}{305}\)
= \(\dfrac{78}{305}\)
\(\left(x^2-4\right)\left(6-2x\right)=0\) ⇔ \(x^2-4=0\) hoặc \(6-2x=0\)
*Nếu \(x^2-4=0\)
⇒ x2 = 4
⇒ x ∈ {2 ; -2}
*Nếu \(6-2x=0\)
⇒2x = 6
⇒ x = 6 : 2 = 3
Vậy x ∈ { -2 ; 2 ; 3 }

B = 643.43.16 = (43)3.43.42 = 49.43.42 = 414
C = 812:(32.27) = (34)2:(32.33) = 38:32.33 = 39
D = ( 811.317 ) : ( 2710.915 ) = (34)11.317 : (33)10.(32)15 = 344.317:330.330 = 361

6x . 6 = 2016
6x = 2016 : 6
6x = 336
=> x \(\in\varnothing\)
42x+3 : 4 = 256
42x+3 = 256 x 4
42x+3 = 1024
42x+3 = 45
2x + 3 = 5
2x = 5 - 3
2x = 2
x = 2 : 2
x = 1
[ x - 2 ]2 = 16
[ x - 2 ]2 = 42
x - 2 = 4
x = 4 + 2
x = 6
[ 2x - 1 ]3 = 27
[ 2x - 1 ]3 = 33
2x - 1 = 3
2x = 3 + 1
2x = 4
x = 4 : 2
x = 2
[ 2x - 1 ]100 = [ 2x - 1 ]100
=> x \(\in N\)
\(3^{2x}.27=3^{11}\)
\(3^{2x}.3^3=3^{11}\)
\(3^{2x+3}=3^{11}\)
\(2x+3=11\)
\(2x=11-3\)
\(2x=8\)
\(x=4\)
32x . 27 = 311
=> 32x.33 = 311
=> 32x + 3 = 311
=> 2x + 3 = 11
=> 2x = 11 - 3
=> 2x = 8
=> x = 8 : 2
=> x = 4