How do you explain 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.

How many ways can you solve exponential equations?

two methods
There are two methods for solving exponential equations. One method is fairly simple but requires a very special form of the exponential equation.

How do you find the exponential equation?

Find the equation of an exponential function

1. If one of the data points has the form (0,a), then a is the initial value.
2. If neither of the data points have the form (0,a), substitute both points into two equations with the form f ( x ) = a ( b ) x \displaystyle f\left(x\right)=a{\left(b\right)}^{x} f(x)=a(b)x​.

How do you use logarithms to solve exponential equations?

Remember that a logarithm is just another way to write an exponential equation. Use the logarithm definition to rewrite the equation in its solvable form. Example: log 4 (x 2 + 6x) = 2 Comparing this equation to the definition [y = log b (x)], you can conclude that: y = 2; b = 4 ; x = x 2 + 6x; Rewrite the equation so that: b y = x; 4 2 = x 2 + 6x

How do you find the base and exponent of a logarithm?

In the same equation, y is the exponent and x is the exponential expression that the logarithm is set equal to. Look at the equation. When looking at the problem equation, identify the base (b), exponent (y), and exponential expression (x). Move the exponential expression to one side of the equation.

How do you use the X calculator?

Solve for x Calculator. Step 1: Enter the Equation you want to solve into the editor. The equation calculator allows you to take a simple or complex equation and solve by best method possible. Step 2: Click the blue arrow to submit and see the result!

How do you solve the equation with exponents equal to each other?

Example 1 Solve each of the following. In this first part we have the same base on both exponentials so there really isn’t much to do other than to set the two exponents equal to each other and solve for x x. So, if we were to plug x = 1 2 x = 1 2 into the equation then we would get the same number on both sides of the equal sign.