Given:

f(x) = log(base 4)(x-4) / 3 - 2log(base 4)x

I think whats throwing me off is the logs. I have no problem finding asymptotes for a rational function with simple variables. But this is confusing me.

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- February 17th 2011, 01:34 PMFallenStar117Finding asymptotes:
Given:

f(x) = log(base 4)(x-4) / 3 - 2log(base 4)x

I think whats throwing me off is the logs. I have no problem finding asymptotes for a rational function with simple variables. But this is confusing me. - February 17th 2011, 01:47 PMpickslides
Assuming

Sketch the graph using a table of values or technology for a better understanding. - February 22nd 2011, 01:23 PMFallenStar117
Hello,

I am wondering how to solve for the horizontal asymptote

I found the vertical asymptote, but am stuck for the horizontal =( - February 22nd 2011, 02:52 PMSoroban
Hello, FallenStar117!

Quote:

Vertical asymptotes occur where the denominator is zero.

. .

Therefore, there is a vertical asymptote at

I suggest that you re-write the function . . .

The denominator is: .

The function becomes: .

Using the Base-change Formula, we can convert tobase.*any*

So we have: .