what is the inverse of 4 to the power of x

what is the inverse of 4 to the power of x Verify if f 1 x ln x ln 4 f 1 x ln x ln 4 is the inverse of f x 4x f x 4 x Tap for more steps Free math problem solver answers your algebra geometry trigonometry

There are 3 methods for finding the inverse of a function algebraic method graphical method and numerical method What is the inverse of a function The inverse of a function f is a That s essentially the inverse function of an exponential function In your case 2 x 8 iff x log 2 8 In general a x b iff x log a b

what is the inverse of 4 to the power of x

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what is the inverse of 4 to the power of x
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Graphing Inverse Functions YouTube
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Question Video Solving A System Of Linear Equations Using An Inverse
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Enter an exponential expression below which you want to simplify The exponent calculator simplifies the given exponential expression using the laws of exponents Determine algebraically the equation of the inverse function of an exponential function Graphically represent the inverse function showing that its inverse is a logarithmic function

These functions are called power functions note that the inverse of a power function is again a power function and we reserve the name exponential function for How do you find the inverse of y 4x and is it a function Precalculus Functions Defined and Notation Function Composition 1 Answer Shwetank Mauria Apr 15 2016

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Instructions Use this calculator to find the inverse function for a function you provide showing all the steps Please type in the function expression you want to find the inverse for in box below Enter the function you need to find the So the inverse of 2x 3 is y 3 2 The inverse is usually shown by putting a little 1 after the function name like this f 1 y We say f inverse of y So the inverse of f x 2x 3 is written f 1 y y 3 2 I also used y instead of x to

For example 4 2 means that 4 is to be raised to the second power Hence 4 2 4 4 16 On the other hand 4 2 represents the additive inverse of 4 2 Thus 4 2 16 It may help to think of x 2 as 1 x You have to use the Lambert W function the inverse of x e x Using this function one can find that the inverse of y x x is x e W ln y

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what is the inverse of 4 to the power of x - How do you find the inverse of y 4x and is it a function Precalculus Functions Defined and Notation Function Composition 1 Answer Shwetank Mauria Apr 15 2016