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A logarithmic utility function in economics is characterized by a diminishing marginal utility of wealth. This means that as an individual's wealth increases, the additional satisfaction gained from each additional unit of wealth decreases. Logarithmic utility functions are commonly used in economic models to represent risk-averse behavior and are often applied in areas such as finance, investment analysis, and decision-making under uncertainty.

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7mo ago

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What is the relationship between a logarithmic function and its corresponding graph in terms of the log n graph?

The relationship between a logarithmic function and its graph is that the graph of a logarithmic function is the inverse of an exponential function. This means that the logarithmic function "undoes" the exponential function, and the graph of the logarithmic function reflects this inverse relationship.


How do you change an exponential functions to a logarithmic function?

If y is an exponential function of x then x is a logarithmic function of y - so to change from an exponential function to a logarithmic function, change the subject of the function from one variable to the other.


What is logarithmic function?

n mathematics, the logarithmic function is an inverse function to exponentiation. The logarithmic function is defined as The base of the logarithm is a. This can be read it as log base a of x. The most 2 common bases used in logarithmic functions are base 10 and base e.


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.


What is an area under a log called?

The area under a logarithmic curve is often referred to as the "integral of the logarithmic function." Specifically, if you are dealing with the natural logarithm, the integral can be expressed mathematically as (\int \ln(x) , dx), which evaluates to (x \ln(x) - x + C), where (C) is the constant of integration. This area can represent various applications in mathematics, physics, and economics, depending on the context.


What is the inverse of an exponent function?

It is the logarithmic function.


What do you call the inverse function of the exponential function?

Logarithmic Function


A logarithmic function is the inverse of an exponential function?

Yes.


Is the inverse of an exponential function the quadratic function?

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


What is the equation of a logarithmic equation?

A logarithmic equation would be any equation that includes the log function.


A logarithmic function takes the exponential function's and returns the exponential function's input?

output


A logarithmic function takes the exponential function's output and returns the exponential function's?

input