If `xa n dy` are real numbers such that `2log(2y-3x)=logx+logy` ,then find `x/y`.

Explanation

To solve the equation \(2\log(2y - 3x) = \log x + \log y\) and find the value of \(\frac{x}{y}\), we can follow these steps:

### Step 1: Rewrite the equation using logarithmic properties
We start with the equation:
\[ 2\log(2y - 3x) = \log x + \log y \]
Using the property of logarithms that states \(a\log b = \log(b^a)\), we can rewrite the left side:
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