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Logarithms

log 31/243= -...

Question

${log}_{3} \frac{1}{243} = - 5.$

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Solution

${log}_{3} \frac{1}{243} = - 5.$
Converting into exponential form,
$\frac{1}{243} = 3^{- 5}$
$\Rightarrow 3^{5} = 243$

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