\(5^{3x-2}:5^{2x-1}=125\)
\(3x-2-2x-1=3\)
\(=>x=2\)

\(\Rightarrow5^{3x-2-2x+1}=5^3\\ \Rightarrow x-1=3\Rightarrow x=4\)

a) 3⁵= 243

b)5³=125

tiếp theo bn tự tính nhé

a) \(\left(2x-1\right)^5=243\)

\(\left(2x-1\right)^5=3^5\)

\(\Rightarrow2x-1=3\)

\(2x=3+1\)

\(2x=4\)

\(x=\frac{4}{2}\)

\(x=2\)

Vậy .......

b) \(\left(3x+2\right)^3=125\)

\(\left(3x+2\right)^3=5^3\)

\(\Rightarrow3x+2=5\)

\(3x=5-2\)

\(3x=3\)

\(x=\frac{3}{3}=1\)

Vậy ..........

b1

A=(125+2)² - (125-2)² = 127² - 123² = 1000

a) = 1000

tíck mik nha

ai giúp mk ik

1) 

a) \(|2x+1|-3=4x\)

\(\Leftrightarrow|2x+1|=4x+3\)

\(\Leftrightarrow\orbr{\begin{cases}2x+1=4x+3\\2x+1=-4x-3\end{cases}}\)

\(\Leftrightarrow\orbr{\begin{cases}2x-4x=3-1\\2x+4x=-3-1\end{cases}}\)

\(\Leftrightarrow\orbr{\begin{cases}-2x=2\\6x=-4\end{cases}}\)

\(\Leftrightarrow\orbr{\begin{cases}x=-1\\x=\frac{-2}{3}\end{cases}}\)

( 3x - 1 )^2 = 25 = (+-5)^2

+) 3x - 1 = 5

3x = 6

x = 2

+) 3x - 1 = -5

3x = -4

x = -4/3

Vậy,.........

Các câu còn lại tương tự

|2x-5|= 3

\(\Rightarrow\orbr{\begin{cases}2x-5=3\\2x-5=-3\end{cases}}\)

\(\Rightarrow\orbr{\begin{cases}2x=8\Rightarrow x=4\\2x=2\Rightarrow x=1\end{cases}}\)

Vậy x=4 hoặc =1

-125-(3x+1)=(-2)×(-77)

-125-(3x+1)=154

          3x+1=-125-154

          3x+1=-279

              3x=-279-1

              3x=-280

                x=\(\frac{-280}{3}\)

Vậy...........................

a. 3^x=1-x^2

x=0 la nghiem

x>=1;  VT>=3 VP<=0 vo nghiem 

b. (de bai thieu n khac 0 vi neu n=0 dung voi moi x)

3x-14=1=> x=5

c.(5^2x5^^x+1)=5^4

5^{^x+1}=5^2=> x=1