StinkyBlueberri
StinkyBlueberri StinkyBlueberri
  • 25-01-2022
  • Mathematics
contestada

Step number/number of dots- 0=1, 1=5, 2=25, 3=125,

At on step, there are 9,765,625 dots in a pattern. At what step number will that happen? Explain how you know.

Respuesta :

chetankachana
chetankachana chetankachana
  • 25-01-2022

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

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