Respuesta :

The value of x is 1

Step-by-step explanation:

According to the problem

625 = [tex]5^{6 - 2x}[/tex]

or, [tex]5^{4}[/tex] =  [tex]5^{6 - 2x}[/tex]

By the rule of index

4 = 6 - 2x

or, 2x = 6 - 4

or, 2x = 2

or, x = 1

Answer:

1.

Step-by-step explanation:

to get 625, you need 5^4.

5^6-2=5^4, so to get to 6-2 in the exponents, you need to multiply -2 by 1.