What is the meaning of the base of the function y=-log(x)?

1 Answer
Jul 11, 2018

I tried this:

Explanation:

The base b helps you to evaluate the log for values of x giving you the corresponding value of y.

Let us consider an example:

log_color(red)(2)(x)

where the base is 2.
We can find this log for various values of x considering the definition of log:

log_2(x)=c
so that: x=2^c

if x=4 then we get:
log_2(4)=?
we see that has to be:
log_2(4)=2
because: 2^2=4

if x=8 then we get:
log_2(8)=?
we see that has to be:
log_2(4)=3
because: 2^3=8

Now let us consider your function with base 2:

color(red)(y=-log_(2)(x))

we can build a table of values:
enter image source here