Can someone give me a hint please for a log question

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SUMMARY

The discussion focuses on solving the equation \( \frac{2\log_5 X}{\log_5 3} - \log_5 Y = 2 \) for \( Y \) in terms of \( X \). The correct solution is \( Y = \frac{1}{25} \frac{X^2}{\log_5 3} \). Participants emphasize the importance of applying logarithmic properties effectively, particularly subtraction and multiplication, to manipulate the equation and isolate \( Y \).

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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
[tex]\frac{2\log_5 x}{\log_5 3}[/tex] Subtract that from both sides. Then Multiply everything by negative one and simplfy with the properties you already know.
 

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