Solving Exponential Equations With Logarithms

Tutoring on Solving Exponential Equations With Logarithms

Learning Objectives:

Understand to Solve Exponential Equations With Logarithms.

Math Tutoring on Solving Exponential Equations With Logarithms

An exponential function is a mathematical function of the following form: f (x) = ax, where x is a variable, and a is a constant called the base of the function. The most commonly used exponential-function base is the transcendental number e, which is equal to approximately 2.71828. Thus, the above expression becomes f (x) = ex. An Exponential equation is an equation involving exponential functions of a variable. To solve an exponential equation, we have to take the log of both sides and solve for the variable. If the base is e then take natural logarithms of both sides of the equation. In either case, exponents are no longer involved. Logarithms have properties, just as exponents that are important to solve a variety of problems where logarithms are involved.

 

 

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Hook Questions:

1.    What is the exponential equation?

2.    How do you solve an exponent?

 

 

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