5^(2x + 1) = 25

5^(2x + 1) = 5² {changed 25 to have the common base of 5....25 is 5²}

2x + 1 = 2 {since the bases were equal, set the exponents equal to each other}

2x = 1 {subtracted 1 from both sides}

**x = 1/2**{divided both sides by 2}

*© Algebra House*