aleyRo0nderichica aleyRo0nderichica
  • 26-12-2016
  • Mathematics
contestada

For what values of b will f(x) = logb x be a decreasing function?

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trashyxpoet
trashyxpoet trashyxpoet
  • 05-01-2017
the answer to this is 0<b<1
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frika
frika frika
  • 21-11-2018

You are given the logarithmic function [tex]f(x)=\log_bx.[/tex] Note that this function is defined when:

  1. [tex]b>0,\ b\neq 1;[/tex]
  2. [tex]x>0.[/tex]

This function is increasing, when [tex]b>1[/tex] and decreasing when [tex]0<b<1[/tex] (see attached graphs for details).

Answer: [tex]0<b<1.[/tex]

Ver imagen frika
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