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Solving Exponential Equations

Solving Exponential Equations 1.10 - Solution

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We will solve the given system of equations using the elimination method. Before we can use this method, we will rewrite each of the equations in the system as a linear equation. Our goal is to write as a power of and to write as a power of Then we will use the properties of exponents. Let's do it!
Next, we will rewrite as a power of Recall that any non-zero number raised to the power of 0 is
In both equations we now have two equivalent expressions with the same base. If both sides of the equations are equal, the exponents must also be equal. Finally we will solve the obtained linear system of equations using the Elimination Method.
Solve by elimination
The solution to the given system of equations is