Can someone give me a hint please for a log question

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To solve for Y in terms of X in the equation 2log_5X/log_5 3 - log_5Y = 2, one can start by isolating log_5Y. By rearranging the equation, subtract 2log_5X/log_5 3 from both sides, resulting in log_5Y = 2 - 2log_5X/log_5 3. Then, apply properties of logarithms to simplify and express Y in terms of X, ultimately leading to the solution Y = 1/25x^2/log_5 3. The discussion highlights the challenge of applying log properties effectively, which can be a common hurdle in solving logarithmic equations. Understanding these properties is crucial for tackling similar problems in the future.
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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. :(
 
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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.
 
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