5^2\(x\) -3  - 2x5² = 5² x 3

5^2x-3 - 50 = 75

5^2\(x\) -3        = 75 + 50 

5^2x-3       = 125 

5^2\(x\) -3     = 5³

2\(x-3=3\) 

2\(x=6\) 

\(x\)  = 3

a) 5^x=125

=> 5^x=5^2

=>x=2

b) 3^2*x=81

=>3^2*x=9^2

=>3^2*x=(3^2)^2

=>x=2

câu c chưa hiểu chỗ 5^2x3 hay 5^2*3 vậy ?

a) \(5^x=125\)

\(5^x=5^3\)

\(\Rightarrow x=3\)

b)\(3^{2x}=81\)

\(3^{2x}=3^4\)

\(\Rightarrow2x=4\)

\(x=4:2\)

\(x=2\)

c)\(5^{2x-3}-2.5^2=5^2.3\)

\(5^{2x-3}=5^2.3+5^2.2\)

\(5^{2x-3}=5^2.\left(3+2\right)\)

\(5^{2x-3}=5^3\)

\(\Rightarrow2x-3=3\)

\(2x=3+3\)

\(2x=6\)

\(x=6:2\)

\(x=3\)

5^2x3 nha

a) \(\left(2x^3-x^2+5x\right):x\)

\(=\dfrac{2x^3-x^2+5x}{x}\)

\(=\dfrac{x\left(2x^2-x+5\right)}{x}\)

\(=2x^2-x+5\)

b) \(\left(3x^4-2x^3+x^2\right):\left(-2x\right)\)

\(=\dfrac{3x^4-2x^3+x^2}{-2x}\)

\(=\dfrac{2x\left(\dfrac{3}{2}x^3-x^2+\dfrac{1}{2}x\right)}{-2x}\)

\(=-\left(\dfrac{3}{2}x^3-x^2+\dfrac{1}{2}x\right)\)

\(=-\dfrac{3}{2}x^3+x^2-\dfrac{1}{2}x\)

c) \(\left(-2x^5+3x^2-4x^3\right):2x^2\)

\(=\dfrac{-2x^5+3x^2-4x^3}{2x^2}\)

\(=\dfrac{2x^2\left(-x^3+\dfrac{3}{2}-2x\right)}{2x^2}\)

\(=-x^3-2x+\dfrac{3}{2}\)

d) \(\left(x^3-2x^2y+3xy^2\right):\left(-\dfrac{1}{2}x\right)\)

\(=\dfrac{x^3-2x^2y+3xy^2}{-\dfrac{1}{2}x}\)

\(=\dfrac{\dfrac{1}{2}x\left(2x^2-4xy+6y^2\right)}{-\dfrac{1}{2}x}\)

\(=-\left(2x^2-4xy+6y^2\right)\)

\(=-2x^2+4xy-6y^2\)

e) \(\left[3\left(x-y\right)^5-2\left(x-y\right)^4+3\left(x-y\right)^2\right]:5\left(x-y\right)^2\)

\(=\dfrac{3\left(x-y\right)^5-2\left(x-y\right)^4+3\left(x-y\right)^2}{5\left(x-y\right)^2}\)

\(=\dfrac{5\left(x-y\right)^2\left[\dfrac{3}{5}\left(x-y\right)^3-\dfrac{2}{5}\left(x-y\right)^2+\dfrac{3}{5}\right]}{5\left(x-y\right)^2}\)

\(=\dfrac{3}{5}\left(x-y\right)^3-\dfrac{2}{5}\left(x-y\right)^2+\dfrac{3}{5}\)

f) \(\left(3x^5y^2+4x^3y^3-5x^2y^4\right):2x^2y^2\)

\(=\dfrac{3x^5y^2+4x^3y^3-5x^2y^4}{2x^2y^2}\)

\(=\dfrac{2x^2y^2\left(\dfrac{3}{2}x^3+2xy-\dfrac{5}{2}y^2\right)}{2x^2y^2}\)

\(=\dfrac{3}{2}x^3+2xy-\dfrac{5}{2}y^2\)

5^2x-3 - 2x5² = 5² x 3

5^2x-3 - 2x5² =  75

5^2x-3 - 50 = 75

5^2x-3 = 75 +50

5^2x-3 =  125 = 5³

=>  2x - 3 = 3

=> 2x = 3+3

=> 2x = 6

=>x = 6:2

=> x = 3

tick nhé

bạn nên tự suy nghĩ làm thì hơn

5^2x-3-2.5²=5².3

5^2x-3-2.25=25.3

5^2x-3-50=75

5^2x-3=75+50

5^2x-3=125=5³

2x-3=3

2x=3+3

2x=6

x=6:2

x=3

Vay x = 3

1/\(\left(x-6\right)^2=9\Rightarrow\orbr{\begin{cases}x-6=-3\\x-6=3\end{cases}\Rightarrow\orbr{\begin{cases}x=3\\x=9\end{cases}}}\)
2/\(5^{x+1}=125\Leftrightarrow5^{x+1}=5^3\Rightarrow x+1=3\Rightarrow x=2\)
3/ đề thiếu
 

x = 9

x = 2

câu 3 mình ko hỉu

à xin lỗi mình nghi thiếu

5^2x-3-2x5²=5²x3

=> 5^2x-3 - 50 = 25

=> 5^2x-3 = 25 + 50 = 75

Mà 75 ko thể ko viết được dưới dạng lũy thừa của 5 

=> ko tồn tại x thỏa mãn bài toán

k mk nha

câu1

(3x-1).(1/2x5)=0

=>3x-1=0               hoặc  1/2x5=0

=>x=1/3                            =>x=0

câu2

1/4+1/3 :(2x-1)=5

=> 1/3:(2x-1)=19/4

=>2x-1       =57/4

=>2x=61/4

=>x=61/8

còn hai câu sau bn ghi đề mik ko hỉu

1.

a)(3x-1)(1/2x5)=0

=>3x-1=0 hoặc 1/2x5=0

3x=0+1               x=0:1/2:5

x=1/3                  x=0

Vậy x=1/3 hoặc x=0

b)1/4+1/3:(2x-1)=5

1/3:(2x-1)=5-1/4=20/4-1/4=19/4

2x-1=1/3:19/4=1/3*4/19=4/57

2x=4/57+1=4/57+57/57=61/57

x=61/57:2=61/57*1/2=61/114

Vậy x=61/114

c)(2x+2/5)^2-9/25=0=0^2-9/25

=>2x+2/5=0

2x=0-2/5

x=-2/5:2=-2/5*1/2

x=-1/5

Vậy x=-1/5

d)(3x-1/2)^3+1/9=0=0^3+1/9

=>3x-1/2=0

3x=0+1/2

x=1/2:3=1/2*1/3

x=1/6

Vậy x=1/6

Làm nhiêu đó chết người đó bạn , đề nhiều số nữa