Question

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

Answer 1

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: