lynenaje74 lynenaje74
  • 13-04-2021
  • Mathematics
contestada

For what values of b will F(x) = logbx be a decreasing function?

Respuesta :

joaobezerra joaobezerra
  • 18-04-2021

Answer:

It is a decreasing function for 0 < b < 1.

Step-by-step explanation:

Logarithm function:

The logarithm function is given by:

[tex]F(x) = \log_{b}{(x)}[/tex]

The base b determines if the function increases or decreases.

For 0 < b < 1, the function decreases.

For b > 1, the function increases.

In this question:

By the definition above, it is a decreasing function for 0 < b < 1.

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