What is the expression for an exponential function?

An exponential function is defined by the formula f(x) = ax, where the input variable x occurs as an exponent.

How do we solve equations with exponential expressions?

Solving Exponential Equations

  1. Step 1: Express both sides in terms of the same base.
  2. Step 2: Equate the exponents.
  3. Step 3: Solve the resulting equation.
  4. Solve.
  5. Step 1: Isolate the exponential and then apply the logarithm to both sides.

What is an example of an 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 are the 4 types of exponential functions?

Alternative Forms for Exponential Growth and Decay

  • Form 1: Base Greater than 1.
  • Form 2: Growth or Decay by Given Factor in Given Time.
  • Form 3: The Time Constant Form.
  • Form 4: The Rate Form.

How do you find the equation of an exponential function given two points?

If you have two points, (x1, y1) and (x2, y2), you can define the exponential function that passes through these points by substituting them in the equation y = abx and solving for a and b. In general, you have to solve this pair of equations: y1 = abx1 and y2 = abx2, .

How do you simplify exponential expressions?

When you are simplifying exponential terms raised to another exponent, the way to simplify them is to multiply the exponents together. This will work with positive and negative exponents and can be shown by working out each exponent the long way.

What is an example of a equation?

An equation is a mathematical statement that is made up of two expressions connected by an equal sign. For example, 3x – 5 = 16 is an equation. Solving this equation, we get the value of the variable x as x = 7.

What are the 4 basic operations of functions?

Functions behave exactly as one would expect with regard to the four basic operations of algebra (addition, subtraction, multiplication, and division).