Question

find x power 2 if 5 power 2 x+1
÷25=125​

Answer 1

Answer:

2x+1=125×25

2x+1=3125

2x=3125-1

2x=3124

x=3124÷2

x=1562

Answer 2

Answer:

${5}^{2x + 1} \div 25 = 125 \\ \frac{ {5}^{2x + 1} }{ {5}^{2} } = {5}^{3} \\ \\ {5}^{2x + 1 - 2} = {5}^{3} \\ since \: bases \: are \: equal \: power \: will \\ also \: be \: equal \\ \\ 2x + 1 - 2 = 3 \\ 2x - 1 = 3 \\ 2x = 4 \\ x = \frac{4}{2} \\ x = 2$

#wmk