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

1 Answer
Sep 20, 2016

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