Find all values of r such that 5^(2r-3) = 25
5^(2r-3) = 25
Express 25 as 5^2
5^(2r-3) = 5^(2)
The bases are the same, so solve for the exponents
2r -3 = 2 add 3 to each side
2r = 5 divide both sides by 2
r = 5/2