Question

How do you calculate `Log_8 2`?

Answer 1

The value is `1/3`

Explanation:

You have to answer a question "To what power do I have to raise `8` to get `2`?". Since `2` is a cubic root of `8` you have to raise `8` to the power of `1/3`.

For every positive real number `a` and a natural `n>=2` you can write that:

`root(n)(a)=a^(1/n)`

So the value is `1/3`