Why can't a base be negative in an exponential function?
Aug 30, 2023 · The function f(x) =ax f (x) = a x is generally taught to only allow a> 0 a> 0. This is usually justified by giving a few examples of complex points in cases where a <0 a <0. For …
Exponential Equations with Unlike Bases | Intermediate Algebra
In general we can solve exponential equations whose terms do not have like bases in the following way: Apply the logarithm to both sides of the equation. If one of the terms in the …
Exponential Equations | College Algebra - Lumen Learning
How To: Given an exponential equation Where a common base cannot be found, solve for the unknown. Apply the logarithm to both sides of the equation. If one of the terms in the equation …
Use like bases to solve exponential equations | College Algebra
How To: Given an exponential equation with unlike bases, use the one-to-one property to solve it. Rewrite each side in the equation as a power with a common base. Use the rules of exponents …
Solving Exponential Equations That Contain Like Bases
In this lesson, you will solve exponential equations in which the bases are equal, or can be written in such a way that they are equal. Specifically, this lesson will cover: Solving Exponential …
Express in terms of the base-10 (common) logarithm, then simplify if possible. The laws of logarithms above are only valid when u>0 and v>0!!! The base of 4 at left cannot be reconciled …
Jul 25, 2013 · Using 0 as a base for an exponential function would create a graph that violates the properties of exponential functions. Some students believe that = 0 should be an exponential …
In all of the equation we solved here, we were able to find a common base. However, this is not always possible. For example, 2 10 x cannot be written using a common base. To solve …
Exponential Functions: Changing Bases
Change the base of an exponential function to a power or root of the same base. Use negative exponents to invert the base of decreasing exponential functions.
Study Guide - Use like bases to solve exponential equations
Sometimes the common base for an exponential equation is not explicitly shown. In these cases, we simply rewrite the terms in the equation as powers with a common base, and solve using …
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