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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1. What is the exponential equation?
2. How do you solve an exponent?
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