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Logarithms — MATHEMATICS STD 9 — Question

ICSE BoardEnglish MediumSTD 9MATHEMATICSLogarithms3 Marks
Question
Write the logarithmic equation for:$F = G \frac{ m _1 m _2^2}{ d ^2}$
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Answer

$F=G \frac{m_1 m_2}{d^2}$
Considering $\log$ on both the sides, we get
$\log F=\log \left(G \frac{m_1 m_2}{d^2}\right)$
$=\log \left(G m_1 m_2\right)-\log d^2$
$=\log G+\log m_1+\log m_2-2 \log d$

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