\(5^{2x-3}-2=5^2.3:5^2\)
\(5^{2x-3}-2=3\)
\(5^{2x-3}=3+2\)
\(5^{2x-3}=5^1\)
=> 2x-3=1
2x=1+3
2x=4
x=4:2
x=2
Vậy x=2
\(5^{2x-3}-2.5^2=5^2.3\)
\(5^{2x-3}-2.25=25.3\)
\(5^{2x-3}-2.25=75\)
\(5^{2x-3}-2=75:25\)
\(5^{2x-3}-2=3\)
\(5^{2x-3}=3-2\)
\(5^{2x-3}=1\)
\(5^{2x-3}=5^0\)
\(\Rightarrow2x-3=0\)
\(2x=0+3\)
\(x=3:2\)
\(x=1.5\)
Vậy x = 1.5