Solving Exponential Equations Without Logarithms

Tutoring on Solving Exponential Equations Without Logarithms

Learning Objectives:

Understand to Solve Exponential Equations Without Logarithms.

Math Tutoring on Solving Exponential Equations Without Logarithms

We will focus on the type of exponential equation where we can write both sides of the equation with the same base. Therefore these equations will not require logarithms, even though they could be solved using logarithms. For solving this type of equation without logarithms we need to know the Property of Exponential Equations:  aˣ= ay, if and only if x = y.

Steps for solving exponential equations with the same base: 

Step 1:  Determine if the numbers can be written using the same base. If so, go to Step 2. If not, stop and use Steps for Solving an Exponential Equation with Different Bases. 

Step 2:  Rewrite the problem using the same base.

Step 3:  Use the properties of exponents to simplify the problem. 

Step 4:  Once the bases are the same, drop the bases and set the exponents equal to each other.

Step 5:  Finish solving the problem by isolating the variable.

 

 

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Hook Questions:

1.    What is the use of Exponential Functions?

2.    What is Exponential Equation? 

3.    How to solve Exponential Equations?

 

 

 

 

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