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Which of the functions below is the inverse of the logarithm function?

Linear function
Exponential function
Rational function
Radical function

User Zarah
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2 Answers

3 votes
exponential function because log deals with finding the exponent so the inverse is an exponential function

User Alexander Zaytsev
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4 votes

Answer:

Option 2 - Exponential function

Explanation:

To find : Which of the functions below is the inverse of the logarithm function?

Solution :

The inverse of a logarithmic function is an exponential function.

As by property of logarithmic,


y=\log_b(x)\\\Rightarrow x=y^b

For example -

Taking log function,


y=\log_2 x

Applying property it convert into exponential function,


x=2^y

The graphs of the logarithmic function and the exponential function are mirror images of one another.

Therefore, Option 2 is correct.

User ThatTechGuy
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