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Logarithms — MATHEMATICS STD 9 — Question

ICSE BoardEnglish MediumSTD 9MATHEMATICSLogarithms1 Mark
Question
State, true or false $:\ \frac{\log x}{\log y}=\log x-\log y$
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Answer

We know that
$\log \left(\frac{m}{n}\right)=\log m-\log n$
$ \therefore \frac{\log x}{\log y} \neq \log x-\log y$
Thus the statement, $\frac{\log x}{\log y}=\log \mathrm{x}-\log \mathrm{y}$ is false.

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