Question
Express the following in a form free from logarithm :$2 \log x - \log y = 1$
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Answer
Consider the given equation
$2 \log x-\log y=1$
$ \Rightarrow \log x^2 -\log y=1$
$ \Rightarrow \log \left(\frac{x^2}{y}\right)=\log 10$
$ \Rightarrow \frac{x^2}{y}=10$
$ \Rightarrow x^2=10 y$
$2 \log x-\log y=1$
$ \Rightarrow \log x^2 -\log y=1$
$ \Rightarrow \log \left(\frac{x^2}{y}\right)=\log 10$
$ \Rightarrow \frac{x^2}{y}=10$
$ \Rightarrow x^2=10 y$
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