Thread: indicial equation

I can't seem to solve this:

3x = 10^-0.3x

All I do is go around in circles

Originally Posted by freswood

I can't seem to solve this:

3x = 10^-0.3x

All I do is go around in circles

Is your problem I presume,

Let,
Then,

Thus,

Thus,

We can see that is a solution because,

Thus,

thus,

------------------
Though I did not prove it, I believe there are no other solutions because this leads to the Lambert function, but I do not know if this is a high school problem or a problem for Analysis class which your professor want to demonstrate with the Lambert function. If a high school function igonore this entire paragraph.

Ta heaps.

Ugh why didn't I think of that?? I can be such an idiot sometimes.

Originally Posted by freswood

Ugh why didn't I think of that??

Maybe because you do not pay attention is class but fool around with you palm pilot and play games

Originally Posted by ThePerfectHacker

Maybe because you do not pay attention is class but fool around with you palm pilot and play games

Maybe it's because I'm not a very lateral thinker and this is the best I can do

Originally Posted by ThePerfectHacker

Is your problem I presume,

Let,

[snip]

------------------
Though I did not prove it, I believe there are no other solutions because this leads to the Lambert function, but I do not know if this is a high school problem or a problem for Analysis class which your professor want to demonstrate with the Lambert function. If a high school function igonore this entire paragraph.

the function:



is increasing on so any real root will be unique.

RonL