Question

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

Answer 1

the answer to this is 0<b<1

Answer 2

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

1. 
   `b>0,\ b\\eq 1;`
2. 
   `x>0.`

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

Answer:
`0<b<1.`