Which properties are present in a table that represents a logarithmic function in the form y=log8^(x) when b>1 I. The y-values are always increasing or always decreasing. II. The point (0, 1) exists in the table. III. The y-values will decrease rapidly as the x-values approach zero. IV. There will only be one x-value in the table with a y-value of zero. I only I and II only I, III, and IV II and III only

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Answer:

I, III, and IV

Step-by-step explanation:

Table represents a logarithmic function,

[tex]Y=log_8X[/tex] when [tex]b>1[/tex]

Correct options for the obtained table according to logarithmic properties: is:

(1) The [tex]Y[/tex] values are always increasing or always decreasing

(2) The [tex]Y[/tex] values will decrease rapidly as the [tex]X[/tex] values approaches to zero

(3) There will only be one [tex]X-[/tex]value in the table with a [tex]Y-[/tex]value of zero.

Given information:

A table represents a logarithmic function

[tex]Y=log_8X[/tex] when [tex]b>1[/tex]

Now, according ton the logarithmic properties:

The correct options for the obtained table is:

  • The [tex]Y[/tex] values are always increasing or always decreasing
  • The [tex]Y[/tex] values will decrease rapidly as the [tex]X[/tex] values approaches to zero
  • There will only be one [tex]X-[/tex]value in the table with a [tex]Y-[/tex]value of zero.

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