Question

5^2x+1 ÷ 25 = 125. Find value of x​

Answer 1

Answer:

${5}^{2x} + 1 \div 25 = 125 \\ \\ \frac{ {5}^{2x} + 1}{25} = 125 \\ \\ {2x}^{5} + 1 = 3125 \\ \\ 25 {x}^{5} + 1 = 3125 \\ \\ 25 {x}^{5} = 3124 \\ \\ {x}^{5} = \frac{3124}{25} \\ \\ {x}^{5} = 124.96$

here is your answer.

Step-by-step explanation:

plz mark as the brainlist

✔✔✔✔✔✔✔✔✔✔✔✔✔

Answer 2

Answer:

x = 2

Step-by-step explanation:

${5}^{2x + 1} \div 25 = 125 \\ \\ {5}^{2x + 1} \div {5}^{2} = {5}^{3} \\ \\ {5}^{2x + 1 - 2} = {5}^{3}$

Since the numbers are same, we can equate their powers:

2x + 1 - 2 = 3

2x - 1 = 3

2x = 3 + 1

2x = 4

x = 2