Question

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

b>0
0>b>-1
0 b>0

Answer 1

0 < b < 1

Explanation:

This is a logarithmic function
`f(x)=log_bx`

This is defined for all values of b greater than 0 (by nature) also x > 0

The function is increasing for values of b > 0

The function is decreasing for values of 0 < b < 1

Note: See attached graphs