Solve the equation with exponents

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}

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