5²ˣ⁻³ - 2.5² = 5².3
5²ˣ⁻³ - 2.25 = 25.3
5²ˣ⁻³ - 50 = 75
5²ˣ⁻³ = 75 + 50
5²ˣ⁻³ = 125
5²ˣ⁻³ =5³
2x - 3 = 3
2x = 3 + 3
2x = 6
x = 6 : 2
x = 3
\(5^{2x-3}-2.5^2=5^2.3\)
\(\Leftrightarrow5^{2x}:5^3-50=75\)
\(\Leftrightarrow5^{2x}:5^3=75+50\)
\(\Leftrightarrow5^{2x}:5^3=125\)
\(\Leftrightarrow5^{2x}=125.5^3\)
\(\Leftrightarrow5^{2x}=5^3.5^3\)
\(\Leftrightarrow5^{2x}=5^6\)
\(\Leftrightarrow2x=6\)
\(\Leftrightarrow x=6:2\)
\(\Leftrightarrow x=3\)
Vậy x=3