Question

For what values of b will F(x) = logb x be a decreasing function?A.0 < b < 1B.0 > b > -1C.b > 0D.b < 0

Answer 1

Given:

There is a function given as below

`F(x)=\log_bx`

Required:

For what value of b the given function in decreasing

Step-by-step explanation:

The given function is logarithm function

also written as

`F(x)=\frac{log\text{ x}}{log\text{ b}}`

The base b is determines that if the function is increasing or decreasing

here

for

`0the given function is decreasing <p>for</p>[tex]b>1`

the given function is increasing

Final answer:

[tex]0