## What are real life applications of exponential and logarithmic functions?

Three of the most common applications of exponential and logarithmic functions have to do with interest earned on an investment, population growth, and carbon dating.

What are some of the applications for exponential functions?

Exponential functions are often used to represent real-world applications, such as bacterial growth/decay, population growth/decline, and compound interest.

What is the application of logarithmic function?

Applications of logarithmic functions include the pH scale in chemistry, sound intensity, the Richter scale for earthquakes, and Newton’s law of cooling.

### What are exponential functions and logarithmic functions?

Logarithmic functions are the inverses of exponential functions. The inverse of the exponential function y = ax is x = ay. The logarithmic function y = logax is defined to be equivalent to the exponential equation x = ay.

What are 4 applications that can use logarithm functions?

Using Logarithmic Functions Some examples of this include sound (decibel measures), earthquakes (Richter scale), the brightness of stars, and chemistry (pH balance, a measure of acidity and alkalinity).

What are the importance of exponential function in our daily life?

The best thing about exponential functions is that they are so useful in real world situations. Exponential functions are used to model populations, carbon date artifacts, help coroners determine time of death, compute investments, as well as many other applications.

#### How important is the application of exponential function in your daily life?

There are important applications of exponential functions in everyday life. The most important applications are related to population growth, exponential decline, and compound interest. These situations can be easily modeled with exponential functions.

Why is it important to study exponential and logarithmic functions?

Logarithmic functions are important largely because of their relationship to exponential functions. Logarithms can be used to solve exponential equations and to explore the properties of exponential functions.

What is the relationship between exponential and logarithms?

Logarithms are the “opposite” of exponentials, just as subtraction is the opposite of addition and division is the opposite of multiplication. Logs “undo” exponentials. Technically speaking, logs are the inverses of exponentials.

## What are some real world applications of logarithmic functions?

Using Logarithmic Functions Some examples of this include sound (decibel measures), earthquakes (Richter scale), the brightness of stars, and chemistry (pH balance, a measure of acidity and alkalinity). Let’s look at the Richter scale, a logarithmic function that is used to measure the magnitude of earthquakes.

What are the properties of exponential function?

An exponential function is a Mathematical function in the form f (x) = ax, where “x” is a variable and “a” is a constant which is called the base of the function and it should be greater than 0. The most commonly used exponential function base is the transcendental number e, which is approximately equal to 2.71828.

What is the difference between exponential and logarithmic equations?

An exponential equation is an equation in which the variable appears in an exponent. A logarithmic equation is an equation that involves the logarithm of an expression containing a variable. To solve exponential equations, first see whether you can write both sides of the equation as powers of the same number.

### How many types of logarithms are there?

two types
There are two types of logarithms: Common logarithm: These are known as the base 10 logarithm. It is represented as log10. Natural logarithm: These are known as the base e logarithm.

What is a real life example of an exponential function?

Exponential Function Real-Life Examples Here are some examples of real-world exponential functions: Exponential growth of bacteria is an exponential model that increases at a constant percent. If, for example, a population of 50 bacteria cells doubles in size every hour, that is exponential growth.

How are logarithmic functions used in real life?

#### What are real life applications of exponential function?

– A represents the amount of money after a certain amount of time – P represents the principle or the amount of money you start with – r represents the interest rate and is always represented as a decimal – n is the number of times interest is compounded in one year

What are the real life examples of exponential functions?

3 1 = 3

• 3 2 = 9
• 3 3 = 27
• 3 4 = 81.
• How to graph and transform an exponential function?

Graph exponential functions using transformations. Transformations of exponential graphs behave similarly to those of other functions. Just as with other parent functions, we can apply the four types of transformations—shifts, reflections, stretches, and compressions—to the parent function. f ( x) = b x. displaystyle fleft (xright)= {b

## What are the basic concepts of exponential functions?

– It is its own derivative d/dx (e^x)= e^x – It is also its own integral – It exceeds the value of any finite polynomial in x as x->infinity – It is continuous and differential from -infinity to +infinity – It’s series representation is: e^x= 1 +x +x^2/2! + x^3/3! – e^ix=cosx + isinx – It is the natural solution of the basic diff.eq.