3) Tìm số tự nhiên x, biết:

a) \(2^x=4\)

\(2^x=2^2\)

\(\Rightarrow x=2\)

___________

b) \(2^x=1\)

\(2^x=2^0\)

\(\Rightarrow x=0\)

___________

c) \(2^x=16\)

\(2^x=2^4\)

\(\Rightarrow x=4\)

___________

d) \(3^x=9\)

\(3^x=3^2\)

\(\Rightarrow x=2\)

___________

e) \(5^x=125\)

\(5^x=5^3\)

\(\Rightarrow x=3\)

___________

f) \(8^x=64\)

\(8^x=8^2\)

\(\Rightarrow x=2\)

___________

h) \(3^{x+1}=3^2\)

\(\rightarrow x+1=2\)

\(x=2-1\)

\(x=1\)

\(\Rightarrow x=1\)

Chúc bạn học tốt

a: 2^x=4

=>2^x=2^2

=>x=2

b: 2^x=1

=>2^x=2^0

=>x=0

c: 2^x=16

=>2^x=2^4

=>x=4

d; 3^x=9

=>3^x=3^2

=>x=2

e: 5^x=125

=>5^x=5^3

=>x=3

f: 8^x=64

=>8^x=8^2

=>x=2

f: 3^x+1=3^2

=>x+1=2

=>x=1

\(a)x=\dfrac{1}{4}+\dfrac{5}{13}=\dfrac{33}{52}.\\ b)\dfrac{x}{3}=\dfrac{2}{3}+\dfrac{-1}{7}.\\ \Leftrightarrow\dfrac{x}{3}=\dfrac{11}{21}.\\ \Leftrightarrow\dfrac{7x}{21}=\dfrac{11}{21}.\\ \Rightarrow7x=11.\\ \Leftrightarrow x=\dfrac{11}{7}.\\ c)\dfrac{x}{3}=\dfrac{16}{24}+\dfrac{24}{36}=\dfrac{2}{3}+\dfrac{2}{3}=\dfrac{4}{3}.\\ \Rightarrow x=4.\\ d)\dfrac{x}{15}=\dfrac{1}{5}+\dfrac{2}{3}=\dfrac{13}{15}.\\ \Rightarrow x=13.\)

a) x × 5 = 35 – 5

x × 5 = 30

x = 30 : 5

x = 6

b) x : 4 = 12 – 8

x : 4 = 4

x = 4 × 4

x = 16

c) 4 × x = 6 × 2

4 × x = 12

x = 12 : 4

x = 3

d) x : 3 = 16 : 4

x : 3 = 4

x = 4 × 3

x = 12

a, \(x\) + 99: 3 = 55

    \(x\) + 33 = 55

     \(x\)        = 55 - 33

      \(x\)       = 22

b, (\(x\) - 25):15 = 20

       \(x\) - 25  = 20 x 15

       \(x\) - 25  = 300

        \(x\)         = 300 + 25

          \(x\)        = 325

c, (3\(x\) - 15).7 = 42

      3\(x\) - 15 = 42:7

       3\(x\) - 15 = 6

        3\(x\)         = 6 + 15

         3\(x\)         = 21

            \(x\)         = 21: 3

             \(x\)         = 7

d, (8\(x\) - 16).(\(x\) -5) = 0

       \(\left[{}\begin{matrix}8x-16=0\\x-5=0\end{matrix}\right.\)

         \(\left[{}\begin{matrix}8x=16\\x=5\end{matrix}\right.\)

          \(\left[{}\begin{matrix}x=16:8\\x=5\end{matrix}\right.\)

           \(\left[{}\begin{matrix}x=2\\x=5\end{matrix}\right.\)

Vậy \(x\) \(\in\) {2; 5}

A,-16+23+x=-16

<=>x=-16+16-23

<=>x=-23

B,10-2(4-3x)=-4

<=>10-8+6x=-4

<=>6x=-4-10+8

<=>6x=-6

<=>x=-1

C,-12+3(-x+7)=-18

<=>-12-3x+21=-18

<=>-3x=-18+12-21

<=>-3x=-27

<=>x=9

D,24:(3x-2)=-3

<=>24/(3x-2)=-3

<=>-3(3x-2)=24

<=>3x-2=-8

<=>3x=-6

<=>x=-2

E,|x+8|-7=8

<=>|x+8|=15

<=>x+8=+-15

Chia 2 TH:

TH1:x+8=15

<=>x=7

TH2:x+8=-15

<=>x=-23

F,-45:5(-3-2x)=3

<=>-9(-3-2x)=3

<=>27+18x=3

<=>18x=-24

<=>x=-4/3

G,|x-1|=0

<=>x-1=0

<=>x=1

H,-13|x|=-26

<=>|x|=2

<=>x=+-2

a) -16 + 23 + x = -16

x = -16 + 16 - 23

x = -23

Vậy x = -23

b) 10 - 2. (4 - 3x) = -4

10 - 2 . 4 + 2. 3x = -4

10 - 8 + 6x = -4

6x = -4 - 10 + 8

6x = -6

x = (-6) : 6

x = -1

Vậy x = -1

c) -12 + 3. (-x + 7) = -18

-12 + 3. (-x) + 3. 7 = -18

-12 + (-3x) + 21 = -18

-3x = -18 + 12 - 21

-3x = -27

x = (-27) : (-3)

x = -9

Vậy x = -9

d) 24 : (3x - 2) = -3

3x - 2 = 24 : (-3)

3x - 2 = -8

3x = -8 + 2

3x = -6

x = (-6) : 3

x = -2

Vậy x = -2

e) lx + 8l - 7 = 8

lx + 8l = 8 + 7

lx + 8l = 15

\(\Rightarrow\hept{\begin{cases}x+8=15\\x=18-5\\x=13\end{cases}hay\hept{\begin{cases}x+8=-15\\x=-15-8\\x=-23\end{cases}}}\)

Vậy \(x\in\left\{13;-23\right\}\)

f) (-45) : 5. (-3 - 2x) = 3

(-9). (-3 - 2x) = 3

(-9). (-3) + 9. 2x = 3

27 + 18x = 3

18x = 3 - 27

18x = -24

x = (-24) : 18

x =\(\frac{-4}{3}\)

Vậy x =\(\frac{-4}{3}\)

g) lx - 1l = 0

\(\Rightarrow x-1=0\)

x = 0 + 1

x = 1

Vậy x = 1

h) (-13). lxl = -26

lxl = (-26) : (-13)

lxl = 2

\(\Rightarrow x=2\)

Vậy x = 2

Chúc bạn học tốt!!!

\(a,30+X=120:5+27\\ 30+X=24+27\\ 30+X=51\\ X=51-30=21\\ ---\\ b,40-3\times X=13\\ 3\times X=40-13=27\\ X=\dfrac{27}{3}=9\\ ---\\ 2\times X-8=16\\ 2\times X=16+8\\ 2\times X=24\\ X=\dfrac{24}{2}=12\\ \\---\\ \dfrac{1}{2}\times X-\dfrac{1}{3}=\dfrac{1}{4}\\ \dfrac{1}{2}\times X=\dfrac{1}{4}+\dfrac{1}{3}=\dfrac{7}{12}\\ X=\dfrac{7}{12}:\dfrac{1}{2}=\dfrac{7}{6}\)

a.30+X=24+27

30+X=51

      X=51-30

       X=21

b.3xX=40-13

3xX=27

   X=27:3=9

C.2xX=16+8

2xX=24

 X=24:2=12

D.1/2xX=1/3+1/4

1/2xX=7/12

     X=7/12:1/2=7/6

a) \(30+x=120:5+27\)

\(30+x=24+27\)

\(30+x=51\)

\(x=51-30\)

\(x=21\)

_____

b) \(40-3\times x=13\)

\(3\times x=40-13\)

\(3\times x=27\)

\(x=27:3\)

\(x=9\)

______

c) \(2\times x-8=16\)

\(2\times x=16+8\)

\(2\times x=24\)

\(x=24:2\)

\(x=12\)

______

d) \(\dfrac{1}{2}\times x-\dfrac{1}{3}=\dfrac{1}{4}\)

\(\dfrac{1}{2}\times x=\dfrac{1}{4}+\dfrac{1}{3}\)

\(\dfrac{1}{2}\times x=\dfrac{7}{12}\)

\(x=\dfrac{7}{12}:\dfrac{1}{2}=\dfrac{7}{12}\times2\)

\(x=\dfrac{7}{6}\)

a) 1 + 1/4 + 1/8 + 1/16

= 16/16 + 4/16 + 2/16 + 1/16

= 23/16

b) 2 - 1/8 - 1/12 - 1/16

= 96/48 - 6/46 - 4/48 - 3/48

= 83/48

c) 4/99 × 18/5 : 12/11 + 3/5

= 8/55 : 12/11 + 3/5

= 2/15 + 3/5

= 2/15 + 9/15

= 11/15

d) (1 - 3/4) × (1 + 1/3) : (1 - 1/3)

= 1/4 × 4/3 : 2/3

= 1/3 : 2/3

= 2

1 + 1/4 + 1/8 + 1/16

= 16 + 4 + 2 + 1 / 16

=23/16

2-1/8-1/12-1/16

= 96 - 6 - 4 - 3 / 48

= 83 / 48

4/99 x 18/5 : 12 /11 + 3/5

= 4/99 x 18/5 x 11/12 + 3/5

= 2/15 + 3/5

= 11/15

(1 - 3/4) x (1+1/3) : (1-1/3) 

= 1/4 x 4/3 : 2/3

= 1/4 x 4/3 x 3/2

= 1/2

a) x = 3

b) x = 2

c) x = 4

d) x = 1.