Can someone give me a hint please for a log question

[i-love-physics]

Homework Statement

Solve for Y in terms of X

Homework Equations

2log_5X/ log_53 - log_5Y = 2

The Attempt at a Solution

I know all the properties of logs, i just don't know how to apply them to this problem.

The answers in the book are . y = 1/25x^2/log_53


When i am studying, i can get through 99 percent of questions, but i always hit this 1 questions once every hour which i cannot answer and it just plays on my mind all day. :(

 

[Gib Z]

Well for this part
$$\frac{2\log_5 x}{\log_5 3}$$ Subtract that from both sides. Then Multiply everything by negative one and simplfy with the properties you already know.

 

[Architeuthis Dux]

Sure, I'd be happy to give you a hint for this log question. Remember that when you have a fraction inside a log, you can use the power property to bring the exponent out in front of the log. Also, when you have a difference inside a log, you can use the quotient property to separate the logs. Try using these properties and see if you can simplify the equation to solve for Y in terms of X.