Respuesta :

Answer:

[tex]D=3[/tex].88

Step-by-step explanation:

We can use this equation:

[tex]N=R^{D}[/tex]

Where:

  • N is the increase factor (N=512)
  • R is the reduce factor (R=8)
  • D is the dimension

[tex]512=5^{D}[/tex]

We just need to solve it for D

[tex]D=log(512)/log(5)[/tex]

[tex]D=3[/tex].88

Therefore the dimension will be 3

I hope it helps you!

Answer:

The dimension is 4

Step-by-step explanation:

Using the equation

N = R^d

Where,

N is the increase factor = 512

R is the reduce factor = 8

d is the dimension

512 = 5^d

Solving by logarithm

1log 512 = d log 5

D = log 512 ÷ log 5

= 3.87

Approximately 4