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, ax = ay, then the exponent values should be equal to each other. It means that, x = y.
Consider an exponential equation, 5x+1 = 59
Since the bases on both sides are equal, then
x+1 = 9
x = 8
The standard form to represent the exponential function is as follows. An exponential function with base “b” is given by:
f (x) = abx
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