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Logarithms — MATHEMATICS STD 9 — Question

ICSE BoardEnglish MediumSTD 9MATHEMATICSLogarithms3 Marks
Question
If $\log (m+n)=\log m+\log n$, show that $m=\frac{n}{n-1}$.
✓

Answer

$\left[\right.$ Hint $\left.: \log \left(\frac{a+b}{2}\right)=\frac{1}{2}(\log a+\log b)=\log \sqrt{a b} \Rightarrow \frac{1}{2}(a+b)=\sqrt{a b}.\right]$

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