[llamajuice]

The first part of the question says
Let log[base a]x = c and log[base b]x = d. Find the general statement that expresses log[base ab]x, in terms of c and d.
So i get cd/(c+d)

Then the second part of it says
Test the validity of your general statement using other values of a, b and x. Discuss the scope and/or limitations of a, b and, x.

I'm having trouble with finding all the limitations and restrictions. Can I get help getting it them all? Right now all I have is a ≠ 1/b

[Swayum]

Can you take log of any number?

When can division fail? You're dividing by c+d there.

Can you have logs to any base?

[llamajuice]

You can only have logs to positive numbers.. and to positive bases right?
And c ≠ -d because you can't have a denominator of 0. So if you change it to in terms of log[base a]x and log[base b] x, it's a ≠ 1/b

soo a, b and x have to be greater than zero
and a ≠ 1/b.
That's what I have right now, is that right?

Also, can a,b and x be square roots or fractions/decimals? It should work right?