\(5^x\cdot5^3=125\)

\(\Rightarrow5^x\cdot5^3=5^3\)

\(\Rightarrow5^{x+3}=5^3\)

\(\Rightarrow x+3=3\)

\(\Rightarrow x=3-3\)

\(\Rightarrow x=0\)

Vậy: x = 0 

(5^2.x-5^x+1)/5=125

25.x-5^x+1=625

=>5^x=25

=>x=2

`125/5^x=5`

`-> 125/5^x=5/1`

`-> 5*5^x=125`

`->`\(5^{1+x}=125\)

`->`\(5^{1+x}=5^3\)

`->`\(x+1=3\)

`-> x=3-1`

`-> x=2`

Vậy, `5^x=5^2`.

\(\left(x+5\right)+\left(x+10\right)+...+\left(x+25\right)-125=150\)
\(\Leftrightarrow x+5+x+10+...+x+25-125=150\)
\(\Leftrightarrow5x-50=150\)
\(\Leftrightarrow5x=100\)
\(\Leftrightarrow x=\dfrac{100}{5}=20\)
Vậy \(x=20\)

x = 20

Bài kia mik làm sai r 
\(\left(x+5\right)+\left(x+10\right)+...+\left(x+25\right)-125=150\)
\(\Leftrightarrow x+5+x+10+...+x+25-125=150\)
\(\Leftrightarrow5x-50=150\)
\(\Leftrightarrow5x=200\)
\(\Leftrightarrow x=\dfrac{200}{5}=40\)
Vậy \(x=40\)

125 : x + 75 : x = 5

(125 + 75) : x = 5

200 : x = 5

x = 200 : 5

x = 40

125 : x + 75 : x = 5
(125 + 75) : x = 5
200 : x = 5
        x = 200 : 5
        x = 40

40 thề luôn

 nhớ k cho mình nhé

Có : \(\dfrac{x}{5}=\dfrac{125}{x}\)

\(\Leftrightarrow x^2=5.125\)

\(\Leftrightarrow x=\pm25\)

Có : \(\dfrac{x}{5}=\dfrac{125}{x}\)

\(\Leftrightarrow x^2=5.125\)

\(\Leftrightarrow x=\pm25\)

\(x^3\) + 125 + (\(x\) + 5)(\(x\) - 25) = 0

(\(x^3\) + 5³) + (\(x\) + 5)(\(x\) - 25) = 0

(\(x\) + 5)(\(x^2\) - 5\(x\) + 25) + (\(x\) + 5)(\(x\) - 25) =0

(\(x\) + 5)(\(x^2\) - 5\(x\) + 25 + \(x\) - 25) = 0

(\(x\) + 5)(\(x^2\) - 4\(x\)) = 0

\(x\)(\(x\) + 5)(\(x\) - 4) = 0

\(\left[{}\begin{matrix}x=0\\x+5=0\\x-4=0\end{matrix}\right.\)

\(\left[{}\begin{matrix}x=0\\x=-5\\x=4\end{matrix}\right.\)

`x^3 + 125 + (x + 5)(x - 25) = 0`

`<=>(x + 5)(x^2 + 5x + 25) + (x + 5)(x - 25) = 0`

`<=>(x + 5)(x^2 + 6x) = 0`

`<=>x(x + 5)(x + 6) = 0`

`<=>x = 0` hoặc `x = -5` hoặc `x=-6`

Sửa:

`x^3 + 125 + (x + 5)(x - 25) = 0`

`<=>(x + 5)(x^2 - 5x + 25) + (x + 5)(x - 25) = 0`

`<=>(x+5)(x^2-4x)=0`

`<=>x(x+5)(x-4)=0`

`<=>x=0` hoặc `x=-5` hoặc `x=4`

=>5x-19+3x+24=125

=>8x+5=125

hay x=15

( 5 x − 19 ) + ( 3 x + 24 ) = 125

. 5 x − 19 + 3 x + 24 = 125

8 x + 5 = 125

8 x = 120

x = 15