# FAQ: What is the inverse of e^x?

## What is the inverse of e to the power of x?

The inverse function is lnx.

## Is log x the inverse of E X?

What is the inverse function of the natural logarithm of x? The natural logarithm function ln( x ) is the inverse function of the exponential function ex.

## How do you find the inverse of E?

1 Answer You have y= e 2x. To do the inverse you want to have somehing in the form. x=f(y) To obtain this we start applying the inverse function og the exponential on both side of our firse equation. Such inverse is the ln. y= e 2x. ln(y)=ln( e 2x) ln(y)=2x. x=ln(y)2.

## What is the inverse of f/x )= E x?

The inverse function for function f ( x ) = e ^ x is f ^-1 ( x ) = ln x. The inverse function, f ^-1( x ), is the function that tells us to what power we have to raise the number e in order to get a given number x, i.e., f ^-1( x ) = ln x. In other words, f ^-1( x ) = ln x is an exponent of e, whereas, f ( x ) = e ^ x is a power of e.

## What is E equal to?

The number e, sometimes called the natural number, or Euler’s number, is an important mathematical constant approximately equal to 2.71828.

## What is the inverse of LN?

Note that the exponential function y=ex y = e x is defined as the inverse of ln (x) ⁡.

## Is e inverse of log?

We know that the inverse of a log function is an exponential. If the base is e and we are dealing with the natural log, then the inverse of f(x) = ln(x) is f^-1(y) = e ^y.

## What is the inverse of x 2?

Therefore, the function f ( x ) = x 2 does NOT have an inverse. There is also a simple graphical way to test whether or not a function is one-to-one, and thus invertible, the horizontal line test.

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## Why is ln the inverse of E?

The natural logarithm of x is the power to which e would have to be raised to equal x. For example, ln 7.5 is 2.0149, because e 2.0149... = 7.5. The natural logarithm of e itself, ln e, is 1, because e 1 = e, while the natural logarithm of 1 is 0, since e = 1.

## What is the inverse of a log?

The inverse of a logarithmic function is an exponential function. When you graph both the logarithmic function and its inverse, and you also graph the line y = x, you will note that the graphs of the logarithmic function and the exponential function are mirror images of one another with respect to the line y = x.

## How do you find the inverse of a function on a calculator?

To find the inverse of a function, write the function y as a function of x i.e. y = f(x) and then solve for x as a function of y.

## How do you solve an exponential equation algebraically?

To solve an exponential equation, take the log of both sides, and solve for the variable. Ln(80) is the exact answer and x=4.38202663467 is an approximate answer because we have rounded the value of Ln(80).. Check: Check your answer in the original equation.

## How do you find the inverse of Ye 3x?

Divide xln( e ) x ln ( e ) by 1 1. The natural logarithm of e e is 1 1. Multiply x x by 1 1. Since g(f(x))=x g ( f ( x ) ) = x, f−1(x)=ln(x)3 f – 1 ( x ) = ln ( x ) 3 is the inverse of f(x)= e 3x f ( x ) = e 3 x.

## What is the correct inverse function for f/x )= ln 3x )?

Since g( f ( x ))= x g ( f ( x ) ) = x, f −1( x )=e x 3 f – 1 ( x ) = e x 3 is the inverse of f ( x )= ln (3 x ) f ( x ) = ln ( 3 x ).

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## What is the correct inverse function for f/x e2x?

Since g( f ( x ))= x g ( f ( x ) ) = x, f −1( x )=ln( x )2 f – 1 ( x ) = ln ( x ) 2 is the inverse of f ( x )=e2 x f ( x ) = e 2 x.

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