a: x^3=7^3

=>x^3=343

=>\(x=\sqrt[3]{343}=7\)

b: x^3=27

=>x^3=3^3

=>x=3

c: x^3=125

=>x^3=5^3

=>x=5

d: (x+1)^3=125

=>x+1=5

=>x=4

e: (x-2)^3=2^3

=>x-2=2

=>x=4

f: (x-2)^3=8

=>x-2=2

=>x=4

h: (x+2)^2=64

=>x+2=8 hoặc x+2=-8

=>x=6 hoặc x=-10

j: =>x-3=2 hoặc x-3=-2

=>x=1 hoặc x=5

k:

9x^2=36

=>x^2=36/9

=>x^2=4

=>x=2 hoặc x=-2

l:

(x-1)^4=16

=>(x-1)^2=4(nhận) hoặc (x-1)^2=-4(loại)

=>x-1=2 hoặc x-1=-2

=>x=3 hoặc x=-1

| x - 6 | = 89

ta có 2 trường hợp

th1

x -6  = 89

x  =  89 + 6

x = 95

th2

x -6 = -89

x     = (-89) + 6

x     = -82

=> x = 95;-82

giáng sinh vv

thank bạn nha

ko có gì

x^3=125

x=5

x⁶:x³=125

x^6-3=125

x³=125

x³=5³

x=5

vậy x=5

a) \(x\cdot25=5^3\)

\(x\cdot25=125\)

\(x=\frac{125}{25}\)

\(x=5\)

b) \(6^x:6^2=6^4\)

\(6^x=6^4\cdot6^2\)

\(6^x=6^6\)

\(x=6\)

c) \(3x=27\)

\(x=27:3\)

\(x=9\)

d) \(5^x+1=125\)

\(5^x=124\)

...

e) \(x\cdot36=6^8\)

\(x=6^8:6^2\)

\(x=6^6\)

\(x=46656\)

g) \(7^x+1:7^2=7^9\)

\(7^x=7^9-\frac{1}{7^2}\)

......

a, x =  125: 25 =5

b , 6 ^x =6^4 . 6^2

6^x =6^6

=> x =6

c, 3x = 27 

=> 3x = 3 .9

=> x = 9 ( vì 3 =3 )

d, 5^x +1 =125

5 ^ x+1 =5^3

=>x +1 =3

=>x=2

e, x. 36 =6 ^8

x . 6^2 = 6^8

x = 6^8 : 6^2

x= 6^6

g , 7^x+1 : 7^2 = 7^9

7^x+1 = 7^2+9

7^x +1=7^ 11

=>x +1 =11

=> x =10

a)\(3^x=9\Leftrightarrow x^x=3^2\Leftrightarrow x=2\)

b)\(6^{x-1}=36\Leftrightarrow6^{x-1}=6^2\Leftrightarrow x-1=2\Leftrightarrow x=3\)

c)\(5^x=125\Leftrightarrow5^x=5^3\Leftrightarrow x=3\)

d)\(3^{2x+1}=27\Leftrightarrow3^{2x+1}=3^3\Leftrightarrow2x+1=3\Leftrightarrow2x=2\Leftrightarrow x=1\)

e) \(3^{x+1}=9\Leftrightarrow3^{x+1}=3^2\Leftrightarrow x+1=2\Leftrightarrow x=1\)

f) \(x^{50}=x\Leftrightarrow\hept{\begin{cases}x=1\\x=0\end{cases}}\)

\(3^x=9\)

\(\Rightarrow3^x=3^2\)

\(\Rightarrow x=2\)

a, 3^x = 9 => 3^x = 3² => x = 2

b, 6^{x - 1} = 36 => 6^{x - 1} = 6² => x - 1 = 2 => x = 3

c, 5^x = 125 => 5^x = 5³ => x = 3

d, 3^{2x + 1} = 27 => 3^{2x + 1} = 3³ => 2x + 1 = 3 => 2x = 2 => x = 1

e, 3^{x + 1} = 9 => 3^{x + 1} = 3² => x + 1 = 2 => x = 1

f, x⁵⁰ = x => x⁵⁰ - x = 0 => x . (x⁴⁹ - 1) = 0 => \(\orbr{\begin{cases}x=0\\x^{49}-1=0\end{cases}}\)=>\(\orbr{\begin{cases}x=0\\x=1\end{cases}}\)

a, (x + 30) – 75 = 125

=> x + 30 = 125 + 75 = 200

=> x = 200 – 30

=> x = 170

Vậy x = 170

b, x – 72 : 36 = 18

=> x – 2 = 18

=> x = 18 + 2 = 20

Vậy x = 20

c, x – 17 = 54

=> x = 54 +17

=> x = 71.

Vậy x = 71

d, 36 – (x – 2) = 12

=> x – 2 = 36 – 12

=> x = 24 + 2 = 26

Vậy x = 26

e, 9x – 7 = 837

=>9x = 837 + 7 = 844

=> x =  844 9

Vậy x =  844 9

f, (x – 15) – 107 = 0

=> x – 15 = 107

=> x = 107 +15

=> x = 122.

Vậy x = 122

g, 134 + (116 – x) = 145

=> 116 – x = 145 – 134

=> x = 116 – 11

=> x = 5.

Vậy x = 5

a: 2/3=12/x

=>12/x=2/3

hay x=18

b: =>x/12=2/3

hay x=8

c: =>1/x=1/4

hay x=4

d: =>x/125=2/5

nên x=50

a, \(\dfrac{12}{18}=\dfrac{12}{x}\Rightarrow x=18\)

b, \(\dfrac{24}{36}=\dfrac{3x}{36}\Rightarrow3x=24\Leftrightarrow x=8\)

c, \(\dfrac{14}{56}=\dfrac{14}{14x}\Rightarrow14x=56\Leftrightarrow x=4\)

d, \(\dfrac{x}{125}=\dfrac{50}{125}\Rightarrow x=50\)

 x = 18

 x = 8

 x = 4

 x = 50