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}

Ask Algebra House