No Clue!

1. Feb 10, 2005

Erin_Sharpe

y=logx4
state domain and range, x-intercept, vertical asymptote.

I have never seen a question like this before.

2. Feb 10, 2005

arildno

It might be easier to find what you're after by the rewriting:
$$x^{y}=4$$

3. Feb 10, 2005

arildno

Note that since for real exponents, the exponential is only defined for positive numbers, so the maximal domain for x is x>0.
Try and find out the range and where a vertical asymptote must be!

4. Feb 10, 2005

dextercioby

HINT:It may be much easier if u rewrote it:
$$y(x)=\frac{\ln 4}{\ln x}$$

Daniel.

5. Feb 10, 2005

arildno

Oops!!
x=1 must be excluded from the domain!

6. Feb 10, 2005

Erin_Sharpe

:( this is so sad. because I completely dont understand this at all. it just makes absolutely no sense to me... is there any way it could be explained to me any easier?

7. Feb 10, 2005

Erin_Sharpe

vertical asymptote... 4? :s

8. Feb 10, 2005

dextercioby

What's the definition of a vertical asymptote...?

Daniel.

9. Feb 10, 2005

arildno

Erin sharpe:
Do you understand the transformation:
$$y=log_{x}4\to{x}^{y}=4\to{y}=\frac{ln(4)}{ln(x)}$$
(the last step was given by Daniel)