## What is the meaning of exponential expression?

• Exponential expressions. Exponential expressions are just a way to write powers in short form. The exponent indicates the number of times the base is used as a factor. So in the case of 32 it can be written as 2 × 2 × 2 × 2 × 2=25, where 2 is the “base” and 5 is the “exponent”.

What is an example of exponential equation?

What are Exponential Equations? An exponential equation is an equation with exponents where the exponent (or) a part of the exponent is a variable. For example, 3x = 81, 5x – 3 = 625, 62y – 7 = 121, etc are some examples of exponential equations.

What is an exponential function simple definition?

An exponential function is a mathematical function of the following form: f ( x ) = a x. where x is a variable, and a is a constant called the base of the function. The most commonly encountered exponential-function base is the transcendental number e , which is equal to approximately 2.71828.

### How to solve exponential equations step by step?

Make sure that the exponential expression is isolated. One side of the equation should be the exponent,the other should be the whole number.

• Rewrite the equation. Set up the equation so that you are taking the log of both sides.
• Rewrite the log of the exponent.
• Isolate the variable.
• Find the logs in the equation.
• Complete the calculations.
• How do you calculate exponential equations?

To solve exponential equations with the same base, which is the big number in an exponential expression, start by rewriting the equation without the bases so you’re left with just the exponents. Then, solve the new equation by isolating the variable on one side.

How do you find the solution of an exponential equation?

Keep the exponential expression by itself on one side of the equation.

• Get the logarithms of both sides of the equation. You can use any bases for logs.
• Solve for the variable. Keep the answer exact or give decimal approximations.
• #### How do you solve exponential equations with different bases?

– Take the log (or ln) of both sides – Apply power property – Solve for the variable