Solve log6(x+6) - log6(x-4) = 3 | Log Subtraction Help

[tommy2st]

Homework Statement

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 I am wrong can anyone think of how I am getting this wrong

 

[tommy2st]

anybody?

 

[lewando]

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

 

[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.

 

[tommy2st]

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

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

 

[lewando]

So what did you get?