Question

5 raised to 2x+1÷25=125

Answer 1

${5}^{2x + 1} \div {5}^{2} = 125 \\ \\ {5}^{2x + 1 - 2} = {5}^{3} \\ \\ base \: are \: equal \: so \: exponents \\ \: are \:also \: equal \\ \\ 2x - 1 = 3 \\ \\ 2x = 4 \\ \\ x = 2$

Answer 2

5^2x+1÷5^2 =5^3

5^2x+1=5^5

2x+1=5

2x=5-1
2x=4

x=4/2 =2