\(5^{2x-3}-2\cdot5^2=5^2\cdot3\)

\(\Rightarrow5^{2x-3}-50=75\)

\(\Rightarrow5^{2x-3}=75+50\)

\(\Rightarrow5^{2x-3}=125\)

\(\Rightarrow5^{2x-3}=5^3\)

\(\Rightarrow2x-3=3\)

\(\Rightarrow2x=6\)

\(\Rightarrow x=\dfrac{6}{2}=3\)

25x-3-2.25=25.3

25x-3-50=75

25x-53=75

25x=75+53

25x=128

x=128

-----------

25

25x-3-2.25=25.3

25x-3-50=75

25x-53=75

25x=75+53

25x=128

x=128

-----------

25

5^(2x-3) = 5^2.3 + 2.5^2

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

5^(2x-3)  = 5^2.5

5^(2x-3) = 5^3

2x - 3   =3

2x        = 6

  x         = 3

woa giỏi quá

=> 5^2x-3 = 5^2.3 + 5^2.2 = 5^2.(2+3) = 5^2.5 = 5^3

=> 2x-3 = 3

=> 2x = 3+3 = 6

=> x = 6:2 = 3

Vậy x = 3

Tk mk nha

giúp mình với

5^{2x - 3} - 2.5² = 5².3

5^2x-3 = 5².3 + 2.5²

5^{2x - 3} = 5³

2x-  3 = 3

2x = 6 

x = 3 

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

\(\Rightarrow5^{2x-3}=5^2.3+5^2.2\)

\(\Rightarrow5^{2x-3}=5^2.\left(2+3\right)=5^3\)

\(\Rightarrow2x-3=3\)

\(\Rightarrow2x=6\)

\(\Rightarrow x=3\)

\(5^{2x-3}\)-2.\(5^2\)= \(5^2\).3

\(5^{2x-3}\) _2.25=25.3

\(5^{2x-3_{ }}\)_50=75

\(5^{2x-3}\)= 75_50

\(5^{2x-3}\)= \(5^2\)

suy ra : 2x-3=2

2x=2.3

2x=6

x=6:2

x=3