a, 1230 : 3(x – 20) = 10

3(x – 20) = 123

x – 20 = 41

x = 61

b, 250 – 10.(24 – 3x):15 = 244

10.(24 – 3x):15 = 6

10.(24 – 3x) = 90

24 – 3x = 9

3x = 15

x = 5

c,  4 x 3  + 15 = 47

4 x 3 = 32

x 3 = 8 = 2 3

x = 2

d,  65 - 4 x + 2 = 2014 0

65 - 4 x + 2 = 1

4 x + 2 = 64 = 4 3

x + 2 = 3

x = 1

e,  4 . 2 x - 3 = 125

4 . 2 x = 128

2 x = 32 = 2 5

x = 5

4.2^x-3=125

4.2^x = 125 + 3

4.2^x = 128

   2^x = 128 : 4

   2^x = 32

=> 2^x = 2^5

=> x = 5

Vậy x = 5

4x3+15=47=>4x3=32=>x3=8=>x3=23=>x=2

4.2^x-3=125

4.2^x = 125 + 3

4.2^x = 128

   2^x = 128 : 4

   2^x = 32

=> 2^x = 2^5

=> x = 5

Vậy x = 5

4x3+15=47=>4x3=32=>x3=8=>x3=23=>x=2

a)7.2^x=56⇔2^x=8⇔2^x=2³⇔x=3

b)(2x+1)³=9.81⇔(2x+1)³=9³⇔2x+1=9⇔2x=8⇔x=4

c)x³=8²⇔x³=2⁶⇔x=2²⇔x=4

d)4.2^x-3=1⇔4.2^x=4⇔2^x=1⇔2^x=2⁰⇔x=0

e)2.3^x=162⇔3^x=81⇔3^x=3⁴⇔x=4

a: =>x-15=20

hay x=35

c: =>12x=360

hay x=30

\(3^3=27;3^6=729\)

\(\left(8X-12\right):4=729:27\)

\(\left(8X-12\right):4=27\)

\(8X-12=27.4\)

\(8X-12=108\)

\(8X=108+12\)

\(8X=120\)

\(X=120:8\)

\(X=15\)

-[(8x - 12):4] .3³=3⁶

[(8x - 12):4]     = 3⁶:3³

[(8x - 12):4]     = 3³

  (8x - 12):4     = 27

  8x - 12          = 27 x 4

  8x - 12          = 108

  8x                 = 108 + 12

  8x                 = 120

    x                 = 120 : 8

    x                 = 15

-4x³+15=47

 4x³       = 47-15

 4x³       = 32

  x³        = 32:4 

  x³        = 8

 x          = 2

-4.2x-3=125

 4.2x   = 125 + 3

 4.2x   = 128

    2x   = 128:4

    2x   = 32

      x   = 32:2

      x   = 16

\(4X^3=47-15\)

\(4X^3=32\)

\(\Rightarrow4X^3=2\)

4.2x – 3 = 125

4.2x = 125 + 3

4.2x = 128

2x = 128 : 4

2x = 32

2x = 25

x = 5

Vậy x = 5

a: 49x^2-25=0

=>(7x-5)(7x+5)=0

=>7x-5=0 hoặc 7x+5=0

=>x=5/7 hoặc x=-5/7

b: Đề thiếu vế phải rồi bạn

c: (3x-2)^2-9(x+4)(x-4)=2

=>9x^2-12x+4-9(x^2-16)=2

=>9x^2-12x+4-9x^2+144=2

=>-12x+148=2

=>-12x=-146

=>x=146/12=73/6

d: x^3-6x^2+12x-8=0

=>(x-2)^3=0

=>x-2=0

=>x=2

e: x^3-9x^2+27x-27=0

=>(x-3)^3=0

=>x-3=0

=>x=3

a) \(-25+49x^2=0\)

\(\Leftrightarrow49x^2-25=0\)

\(\Leftrightarrow\left(7x\right)^2-5^2=0\)

\(\Leftrightarrow\left(7x-5\right)\left(7x+5\right)=0\)

\(\Leftrightarrow\left[{}\begin{matrix}7x-5=0\\7x+5=0\end{matrix}\right.\)

\(\Leftrightarrow\left[{}\begin{matrix}7x=5\\7x=-5\end{matrix}\right.\)

\(\Leftrightarrow\left[{}\begin{matrix}x=\dfrac{5}{7}\\x=-\dfrac{5}{7}\end{matrix}\right.\)

b) \(16x^2-25\left(x-2\right)^2=0\)

\(\Leftrightarrow\left(4x\right)^2-\left[5\left(x-2\right)\right]^2=0\)

\(\Leftrightarrow\left(4x-5x+10\right)\left(4x+5x-10\right)=0\)

\(\Leftrightarrow\left(10-x\right)\left(9x-10\right)=0\)

\(\Leftrightarrow\left[{}\begin{matrix}10-x=0\\9x=10\end{matrix}\right.\)

\(\Leftrightarrow\left[{}\begin{matrix}x=10\\x=\dfrac{10}{9}\end{matrix}\right.\)

c) \(\left(3x-2\right)^2-9\left(x+4\right)\left(x+4\right)=2\)

\(\Leftrightarrow9x^2-12x+4-9\left(x^2+8x+16\right)=2\)

\(\Leftrightarrow9x^2-12x+4-9x^2-72x-144=2\)

\(\Leftrightarrow-84x-140=2\)

\(\Leftrightarrow-84x=142\)

\(\Leftrightarrow x=-\dfrac{142}{84}\)

\(\Leftrightarrow x=-\dfrac{71}{42}\)

d) \(x^3-6x^2+12x-8=0\)

\(\Leftrightarrow x^3-3\cdot2\cdot x^2+3\cdot2^2\cdot x-2^3=0\)

\(\Leftrightarrow\left(x-2\right)^3=0\)

\(\Leftrightarrow x-2=0\)

\(\Leftrightarrow x=2\)

e) \(-27+27x-9x^2+x^3=0\)

\(\Leftrightarrow x^3-9x^2+27x-27=0\)

\(\Leftrightarrow\left(x-3\right)^3=0\)

\(\Leftrightarrow x-3=0\)

\(\Leftrightarrow x=3\)

Mình sửa lại câu c một chút nha:

c: (3x-2)^2-9(x+4)(x+4)=2

=>(3x-2)^2-9(x+4)^2=2

=>(3x-2)^2-(3x+12)^2=2

=>(3x-2-3x-12)(3x-2+3x+12)=2

=>-14*(6x+10)=2

=>6x+10=-1/7

=>6x=-71/7

=>x=-71/42

1b) có thiếu ko cau?

`1a)5^3` và `3^5`

`5^3=125`

`3^5=243`

Vì `243>125` nên `3^5>5^3`

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`c)3^24` và `27^7`

`27^7=(3^3)^7=3^21`

Vì `3^24>3^31` nên `3^24>27^7`

`2a)x^3=216`

`=>x^3=6^3`

`=>x=6`

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`b)3^x+15=18`

`=>3^x=18-15`

`=>3^x=3`

`=>x=1`