Which of the following is the inverse of y = 12 Superscript x? y = log Subscript one-twelfth Baseline x y = log Subscript 12 Baseline StartFraction 1 Over x EndFraction y = log Subscript x Baseline 12 y = log Subscript 12 Baseline

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Answer:

The answer is D. y = log12(x)

Step-by-step explanation:

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The inverse of the function is logx/log12

The inverse of a function

Given the function expressed as:
y = 12^x

To find the inverse, switch the variables to have:

x = 12^y

Take the log of both sides

logx = y log 12

y = logx/log12

Hence the inverse of the function is logx/log12

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