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# logs equation question HELPP watch

1. 2log base 3 (x) - log base3 (x-2) = 2
where x > 2
2. (Original post by beth59411)
2log base 3 (x) - log base3 (x-2) = 2
where x > 2
Start by using some simple log laws to get the two logarithms together
3. (Original post by AHappyStudent)
Start by using some simple log laws to get the two logarithms together
so would it be log base 3 (x^2 /x-2) = 2?
4. (Original post by beth59411)
so would it be log base 3 (x^2 /x-2) = 2?
Yep, good work

Now try using the definition of a log to find an equation for x and then solve

By this I mean

Where y = x^n,
n = log base x (y)
5. (Original post by Unknown-99)
Here's the worked solution. I wrote it down but couldn't upload the photo so I found a link with the solution.
https://www.symbolab.com/solver/loga...2%5Cright)%3D2
I managed to work it out thank youuu!!!!

I got the right answer thanks for the help, I always struggle starting it off :/
6. Here is the solution I wrote it down myself but couldn't upload the photo so here's the worked solution.
https://www.symbolab.com/solver/loga...2%5Cright)%3D2
7. (Original post by beth59411)
I managed to work it out thank youuu!!!!

I got the right answer thanks for the help, I always struggle starting it off :/
No problem. Just remember these 2 simple rules.

- If the logs are ADDED together then combine them by multiplying the things in the brackets by each other.

- If the logs are SUBTRACTED then combine them by dividing the first bracket by the second bracket.

But you can only do this if they have the same base.

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