Solve the equation. 5^2x = 15,625

Answer 1

We can write 15,625 as 5^6 (because 5^6 = 5 x 5 x 5 x 5 x 5 x 5 = 15,625). So we have:

5^2x = 5^6

Since the bases are equal, we can equate the exponents:

2x = 6

Divide both sides by 2:

x = 3

Therefore, the solution to the equation is x = 3.