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Conditions on the Domain and the Range of the Logarithmic Function

The logarithm...

Question

The logarithm of $0.0625$ to the base $2$ is:

0.025

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0.25

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5

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- 4

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- 2

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Solution

The correct option is D $- 4$
${log}_{2} \frac{625}{10000}$
$= {log}_{2} \frac{1}{16}$
$= {log}_{2} (16)^{- 1}$
$= {log}_{2} (2)^{- 4}$
$= - 4 {log}_{2} 2$
$= - 4$

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