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Logarithms — MATHEMATICS STD 9 — Question

ICSE BoardEnglish MediumSTD 9MATHEMATICSLogarithms2 Marks
Question
Given $\log_2x = m$. Express $2^{m - 3}$ in terms of $x.$
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Answer

$ \log _2 {x}=\mathrm{m}$
$ \Rightarrow 2^{\mathrm{m}}={x}$
$ \text { Consider } 2^{\mathrm{m}}={x}$
$ \Rightarrow \frac{2^m}{2^3}=\frac{x}{2^3}$
$ \Rightarrow 2^{m-3}=\frac{x}{8}$

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