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Logarithms — MATHEMATICS STD 9 — Question

ICSE BoardEnglish MediumSTD 9MATHEMATICSLogarithms2 Marks
Question
Find the value of: $\log _{\frac{1}{2}} 16$
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Answer

$\log _{\frac{1}{2}} 16$
 Let  $\log _{\frac{1}{2}} 16= x$
$\Rightarrow 16=\left(\frac{1}{2}\right)^x $
$ \Rightarrow 2^{-x}=2^4 $
$ \Rightarrow x=-4 $
$\therefore-x=4 .$

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