\(5^{2x-3}-2.5^2=5^2.3\)
\(5^{2x-3}=5^2.3+2.5^2\)
\(5^{2x-3}=5^2\left(2+3\right)\)
\(5^{2x-3}=5^3\Rightarrow2x-3=3\Rightarrow2x=6\Rightarrow x=3\)
52x - 3 - 2 . 52 = 52 . 3
52x - 3 - 2 . 25 = 25 . 3
52x - 3 - 2 . 25 = 75
52x - 3 - 50 = 75
52x - 3 = 75 + 50
52x - 3 = 125
\(\Rightarrow\) 52x - 3 = 53
\(\Rightarrow\) 2x - 3 = 3
2x = 3 + 3
2x = 6
x = 6 : 2
x = 3.
52x-3-2.52=52.3
52x-3 =52.3+2.52
52x-3 =52(3+2)
52x-3 =52.51
52x-3 =53
2x-3 =3
2x =3+3
2x = 6
x = 6 : 2
x = 3
Vậy x = 3 .