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# Logarithmic Functions

Logarithmic scales are used when the range of possible values is very wide, such as the intensity of an earthquake or the acidity of a liquid, in order to avoid the use of large numbers.

Which of the following could be the graph of \( \log_a {x} \: \) if \( 0<a<1 \:? \)

(A) \(~ y = \log{|x|} \)

(B) \(~ y = \left|\log{|x|}\right| \)

(C) \(~ |y| = \log{x} \)

(D) \(~ y = |\log{x}| \)

Which of the following could be the graph of \( \log_a {x} \: \) if \( 0<a<1 \:? \)

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