Respuesta :

Answer:

10th step

Step-by-step explanation:

The pattern increases by an exponent of 5

0 : 5^0 = 1

1 : 5^1 = 5

2 : 5^2 = 25

3 : 5^3 = 125

The pattern is y = 5^x

  • y = output
  • x = step number

Now we have:

9,765,625 = 5^x

Equation:

[tex]log_59765625 = x\\ \\ x = 10[/tex]

[tex]\boxed{\text{10th step}}[/tex]

-Chetan K