\(\text{a) -3000 : 2 + 5(2x-1) = 125}\\ -1500+5\left(2x-1\right)=125\\ 5\left(2x-1\right)=125-\left(-1500\right)\\ 5\left(2x-1\right)=1625\\ 2x-1=1625:5\\ 2x-1=325\\ 2x=325+1\\ 2x=326\\ x=326:2\\ x=163\)

\(\text{b) 6x -12 = -18}\\ 6x=-16+12\\ 6x=-6\\ x=-1\)

\(\text{c) 17 + 3(x-1) = 5}\\ 3\left(x-1\right)=5-17\\ 3\left(x-1\right)=-12\\ x-1=-12:3\\ x-1=-4\\ x=-3\)

\(a,\\ \left(x+\dfrac{1}{2}\right)^3=\dfrac{8}{125}=\dfrac{2^3}{5^3}\\ \left(x+\dfrac{1}{2}\right)^3=\left(\dfrac{2}{5}\right)^3\\ \Rightarrow\left(x+\dfrac{1}{2}\right)=\dfrac{2}{5}\\ x=\dfrac{2}{5}-\dfrac{1}{2}\\ x=-\dfrac{1}{10}\)

\(b,3\left|x\right|-27=\dfrac{1}{5}\\ 3\left|x\right|=\dfrac{1}{5}+27\\ 3\left|x\right|=\dfrac{136}{5}\\ \left|x\right|=\dfrac{136}{5}:3\\ \left|x\right|=\dfrac{136}{15}\\ Vậy:x=\dfrac{136}{15}.or.x=-\dfrac{136}{15}\)

\(c,\\ \dfrac{1}{2}.\left(x+\dfrac{1}{3}\right)=\dfrac{1}{16}\\ \left(x+\dfrac{1}{3}\right)=\dfrac{1}{16}:\dfrac{1}{2}\\ \left(x+\dfrac{1}{3}\right)=\dfrac{1}{8}\\ x=\dfrac{1}{8}-\dfrac{1}{3}\\ x=-\dfrac{5}{24}\)

Bài 3: 

\(\Leftrightarrow3^{2x+6}=3\)

=>2x+6=1

=>2x=-5

hay x=-5/2

a) 2 x 3 x 4 x 8 x 50 x 25 x 125

= (2 x 50) x (4 x 25) x (8 x 125) x 3

= 100 x 100 x 1000 x 3

= 30 000 000

b) 45 x 128 90 x 64

= (45 x 64) x 128 90

= 2880 x 128 90

= 37 123 200

_HT_

a, 2 x 3 x 4 x 8 x 50 x 25 x 125                                                                            b, 45 x 12890 x 64    

= (2 x 50) x (4 x 25) x (8 x 125) x 3                                                                      = (45 x 64) + 12890

= 100 x 100 x 1000 x 3                                                                                         = 2880 + 12890

= 10000000 x 3 = 30000000                                                                                 = 15770

                                                                 chúc bạn thành công

a ) 2 x 3 x 4 x 8 x 50 x 25 x 125

  = 3 x 2 x 50 x 4 x 25 x 8 x 125

  = 3 x ( 2 x 50 ) x ( 4 x 25 ) x ( 8 x 125 )

  = 3 x 100 x 100 x 1000

  = 30000000

 45 x 128 90 x 64

= ( 45 x 64 ) x 128 90

= 2880 x 128 90

= 37 123 200 

a) 125 x 6 = ...6... × 125

b) 34 × (4 + 5) = 9 × ..34..

c) 18 x 1000=18000

d) 9000 : 100=90

a) 125 x 6 = ...6.. × 125

b) 34 × (4 + 5) = 9 × ..34..

c) 18 x 1000= 18000

d) 9000 : 100= 90

a) 6

b) 34

c) 18 000

d) 90

\(a,\Rightarrow3x-1=5\\ \Rightarrow3x=6\\ \Rightarrow x=2\\ b,\Rightarrow15\left(x+1\right)=200-35=165\\ \Rightarrow x+1=11\\ \Rightarrow x=10\\ c,\Rightarrow x\inƯC\left(18,54\right)=Ư\left(18\right)=\left\{1;2;3;6;9;18\right\}\)

a=30000000

b=3712320

a/ 7^2+x + 2.7^x-1 =345

7³ . 7^x-1 + 2.7^x-1 = 345

7^x-1 (7³+2) = 345

7^x-1 . 345 = 345

7^x-1 = 345 : 345 = 1

7^x-1 = 7⁰

x - 1 = 0

x = 0+1 = 1

b/ 81^-2x . 27^x = 9⁵

(3⁴)^-2x . (3³)^x = (3²)⁵

3^4.(-2x) . 3^3.x = 3^2.5

3^-8x . 3^3x = 3¹⁰

3^-8x+3x = 3¹⁰

3^-5x = 3¹⁰

-5x = 10

x = 10 : (-5) = -2