Given:
There is a function given as below
[tex]F(x)=\log_bx[/tex]
Required:
For what value of b the given function in decreasing
Explanation:
The given function is logarithm function
also written as
[tex]F(x)=\frac{log\text{ x}}{log\text{ b}}[/tex]
The base b is determines that if the function is increasing or decreasing
here
for
[tex]0the given function is decreasing
for
[tex]b>1[/tex]
the given function is increasing
Final answer:
[tex]0
