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Let y = ex. Then x = ln y for y > 0, where ln y means the 'natural logarithm of y'.

This is analogous to the following:

If y = 10x, then x = log10y for y > 0, where log10 y means the 'common (base 10) logarithm of y'. For instance, if y=100 then x = log10y = 2 because 100 = 102.

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Q: Is The inverse of an exponential function is the quadratic function?
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Related questions

Is the inverse of an exponential function the quadratic function?

No. The inverse of an exponential function is a logarithmic function.


Is an exponential function is the inverse of a logarithmic function?

No, an function only contains a certain amount of vertices; leaving a logarithmic function to NOT be the inverse of an exponential function.


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X squared is not an inverse function; it is a quadratic function.


A logarithmic function is the inverse of an exponential function?

Yes.


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No. It is a sequence for which the rule is a quadratic expression.


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The inverse function of the exponential is the logarithm.


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An exponential function is of the form y = a^x, where a is a constant. The inverse of this is x = a^y --> y = ln(x)/ln(a), where ln() means the natural log.


What is inverse of exponential function?

The logarithm function. If you specifically mean the function ex, the inverse function is the natural logarithm. However, functions with bases other than "e" might also be called exponential functions.


What function is the inverse of a quadratic function?

If the quadratic function is f(x) = ax^2 + bx + c then its inverse isf'(x) = [-b + +/- sqrt{b^2 - 4*(c - x)}]/(2a)


What is this type of function called y equals mx to the power of -b?

Assuming that b > 0, it is an inverse power function or an inverse exponential function.