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