Does anyone know, would this by definition be no solution or 1.

Question

idku · Answer

$$Log_00=x$$

primeralph · Answer

By definition, 0^1 = 0.

idku · Answer

Ok, but by definition, Log of o is no solution, so that's what confusing me.

idku · Answer

I meant Log 0  not log o

primeralph · Answer

Well, it's not 1. In the case of logarithms, 0 is more like null, so the logarithm to a null base is undefined.

idku · Answer

So no solution, right?

anonymous · Answer

you cannot take a log of 0 or less, no solution

primeralph · Answer

In general, no. If you're talking about some kind of sample though, it's possible to have a solution.

idku · Answer

I was thinking of...
$$\frac{Log_{10}0}{Log_{10}0}=1$$

whatever, it's either way undefined....

agent0smith · Answer

http://www.wolframalpha.com/input/?i=log_0+0

anonymous · Answer

no, you can never take a log of 0 or less

directrix · Answer

By definition, the base of a logarithm within the set of Real Numbers is a positive number not equal to 1.

idku · Answer

Yes, I believe you, you don't need links... but yeah I see....

primeralph · Answer

@idku  Problems like that occur frequently in math. The problem is that simple division and multiplication will fall apart at the bounds, so using the change of base wont be very effective.

idku · Answer

Yeah, I figured that changing base doesn't do anything....

idku · Answer

It's either way no solution....

anonymous · Answer

it is like asking, what power do I need to raise x to in order to =0? there is no number that does it.

directrix · Answer

"We can extend the idea of the log function to complex numbers, but unfortunately it is not unique .." http://nrich.maths.org/1403

idku · Answer

Ok, I got it, no solush.... see ya'll and ty!