Question

Is the graph of `log(1/2)^x` always decreasing?

Answer 1

This function is decreasing.

Explanation:

To find if the function is incresing, decreasing or constant you have to simplify it first.

`y=log(1/2)^x`

`y=log(1/2)^x=x xx log(1/2)`

From this form we see that the function is linear and its slope is `log(1/2)`. This number is negative, so the function is decreasing in all domain `RR`