## What are examples of exponential functions in real life?

Exponential functions are often used to represent real-world applications, such as bacterial growth/decay, population growth/decline, and compound interest. Suppose you are studying the effects of an antibiotic on a certain bacteria.

**What is an example of an exponential equation?**

In other words, when an exponential equation has the same base on each side, the exponents must be equal. For example, consider the equation 34x−7=32×3 3 4 x − 7 = 3 2 x 3 . To solve for x, we use the division property of exponents to rewrite the right side so that both sides have the common base 3.

### What is a real life example of exponential growth or decay?

So, the process of cooling of a kettle after the heat is off is a good example of an exponential decay. This example prompts to a conclusion that every process with a speed of change proportional to its value exhibits the exponential dependency. Another typical example is a population grows.

**What would be an example of exponential growth?**

Some examples of exponential growth are population growth and financial growth. The information found, can help predict what a population for a city or colony would be in the future or what the value of your house is in ten years.

#### What is a real life example of a linear function?

Linear modeling can include population change, telephone call charges, the cost of renting a bike, weight management, or fundraising. A linear model includes the rate of change (m) and the initial amount, the y-intercept b .

**What are the two methods for solving exponential equations?**

How to Solve Exponential Equations

- Equating Two Exponents with the Same Base.
- Equating an Exponent and a Whole Number.
- Using Logs for Terms without the Same Base.

## What makes an exponential equation?

Exponential equations are equations in which variables occur as exponents. For example, exponential equations are in the form ax=by . To solve exponential equations with same base, use the property of equality of exponential functions . If b is a positive number other than 1 , then bx=by if and only if x=y .

**What are some examples of exponential growth?**

### What decays exponentially in real life?

Radioactive Decay Radioactive decay of the isotopes of radioactive elements is a prominent example of exponential decay in real life.