Exponential Equation Calculator is a free online tool that solves the given exponential equation and gives the variable value. CoolGyan’S online exponential equation calculator tool makes the calculations faster and solves the exponential equation in a fraction of seconds.

## How to Use the Exponential Equation Calculator?

The procedure to use the exponential equation calculator is as follows:

**Step 1:** Enter the exponential equation a given input field

**Step 2:** Click the button “Submit” to get the result of the exponential equation

**Step 3:** Finally, the value of the variable will be displayed in the new window

### What is an Exponential Equation?

In Algebra, an exponential equation is an equation in which a variable occurs in the exponents. In case both the sides of an equation have the same bases, then by the property, a^{x } = a^{y}, then the exponent values should be equal to each other. It means that, x = y.

Consider an exponential equation, 5^{x+1} = 5^{9}

Since the bases on both sides are equal, then

x+1 = 9

x = 8

### Standard Form

The standard form to represent the exponential function is as follows. An exponential function with base “b” is given by:

**f (x) = ab ^{x}**

Where x is a real number, a ≠ 0, b>0, and b ≠1

Here, the exponent “x” is a variable, and the base “b” is a constant.

## Frequently Asked Questions on Exponential Equation Calculator

### What are the laws of exponents?

The laws of exponents are:

- To multiply the identical bases, add the exponents
- To divide the identical bases, subtract the exponents
- If there are two or more exponents with a single base, then multiply the exponents

### What are the applications of the exponential function?

The most important applications of the exponential functions are:

- Exponential decay
- Compound interest
- Population growth

### What is an exponential constant?

An exponential constant is one of the most important mathematical constants and it is denoted by the letter “e”. The value of e is approximately equal to 2.718