# How do you find the exact value of #log_3 (-9)#?

##### 2 Answers

#### Explanation:

Here,

using

As a Complex value I think the answer is

#### Explanation:

For Real numbers the

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For Complex Numbers:

It has been a long time since I've done this kind of thing so could someone check my results.

One of the common results of Euler's Formula:

is that

from which it follows that

Also we will need to remember the "change of base" formula for logarithms:

....and here we go!

or using the common notation of

and separating the