Homework Help: Log subtraction help

1. Sep 8, 2011

tommy2st

1. The problem statement, all variables and given/known data

log6(x+6) - log6(x-4) = 3

2. The attempt at a solution

150/36 is what i get which i simplified to 25/6.
but the program tells me im wrong can anyone think of how im getting this wrong

2. Sep 8, 2011

anybody?

3. Sep 8, 2011

lewando

I get something close, what steps did you do to get at that answer?

4. Sep 8, 2011

symbolipoint

The logarithms (of the same base) are exponents so you can do:

log6(x+6) - log6(x-4) = 3

$$log_6 \frac{x+6}{x-4}=3$$

$$6^3 = \frac{x+6}{x-4}$$

If you made that far, then you should find the rest of the steps.

5. Sep 8, 2011

tommy2st

i figured it out now. i was squaring the base instead of cubing it. thanks for your help tho !!

6. Sep 8, 2011

lewando

So what did you get?