# Finding the inverse of an exponential function

16-week Lesson 32 (8-week Lesson 26) Finding the Inverse of an Exponential or Logarithmic Function 3 Example 3:)List the domain and range of the function (𝑥)=ln(−𝑥. Then find its inverse

x

## Solving Exponential Equations

This video shows how to find the inverse of an exponential function.

• 1

Math can be tough, but with a little practice, anyone can master it.

• 2

Math can be tough to wrap your head around, but with a little practice, it can be a breeze!

• 3

Solve math problem

math is the study of numbers, shapes, and patterns. It is used in everyday life, from counting to measuring to more complex calculations.

• 4

Fast Delivery

If you need your order fast, we can deliver it to you in record time.

## 5.3: Graphs of Exponential Functions

Mathbyfives 137K subscribers This is the 4 step process for finding an inverse function. The video takes an exponential function and transforms it to its logarithmic inverse.

Solve mathematic problems

Solving math problems can be a fun and rewarding experience.

Get Assignment

If you're struggling to complete your assignments, Get Assignment can help. We offer a wide range of services to help you get the grades you need.

Do mathematic problems

I can't do math equations.

Math can be tough, but with a little practice, anyone can master it!

## Inverse of Exponential Function f(x) = 3^(x

See explanation about 'inverse function'. Suppose we have: y=a^x Take logs of both sides ln(y)=ln(a^x) But ln(a^x) is the same as xln(a) giving: ln(y)=xln(a) Divide both sides Solving word questions

If you're stuck on a word problem, the best thing to do is to break it down into smaller steps. That way, you can better understand what the question is asking and how to solve it. Top Professionals

There are few greater professions than being a top professional. Clarify mathematic problems

If you're having trouble understanding a math problem, try clarifying it by breaking it down into smaller steps. This can help you see the problem in a new light and find a solution more easily.

## Showing how to find the inverse of an exponential

You can always check whether it is correct by exploiting the definition of inverse function, i.e. f ( f − 1 ( x)) = f − 1 ( f ( x)) = x. In your case, 3 − ( − log 3 x) = 3 log 3 x = x, so you are right. Share

• 209+

Teachers

• 4.6

Satisfaction rate

## Find the Inverse of an Exponential Function

For example, find the inverse of f (x)=3x+2. Inverse functions, in the most general sense, are functions that reverse each other. For example, if takes to , then the inverse, , must take to .

If you want to enhance your academic performance, start by setting realistic goals and working towards them diligently.

If you're looking to improve your academic performance, try studying with a friend or group.

Scan

If you're struggling with a math problem, scanning it for key information can help you solve it more quickly.

Fill order form

To place an order, please fill out the form below.

## A lot of happy people

This a great app if your not sure what your doing and a teacher can't explain it correct, it gives you the correct answers for anything, math app is an excellent app to solve your math problems in short time, literally the best, not only do you get the answer, you get to learn the process and how to do similar problems.

Kenneth Pena

I am using this app to help me pass my math class, and it works like a charm. Thank goodness for this app. It's a great app, I just wish it was offline, i got this app from my cousin and I used it when I really need help with math.

Kenneth Zavala

This app is really awesome. We are very grateful for you. Rarely do I rate something 5 stars, often times it seems like an over exaggeration, used it to help me with math test and it was super helpful.

Johnnie Aragon

## Exponential Functions

Since you've now said you wanted e x in the numerator, here's that: y = e x 1 + 2 e x = 1 e − x + 2. multiply by − 1 exponentiate add 2 reciprocal. So the inverse is: reciprocal subtract 2 take 