Solving Exponential Equations

Solving Exponential Equations - Solving Exponential...

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Solving Exponential Equations, where x is in the exponent, BUT the bases DO NOT MATCH. Step 1: Isolate the exponential expression. Get your exponential expression on one side everything outside of the exponential expression on the other side of your equation. Step 2: Take the natural log of both sides. The inverse operation of an exponential expression is a log. Make sure that you do the same thing to both sides of your equation to keep them equal to each other. Step 3: Use the properties of logs to pull the x out of the exponent. If you need a review on log properties, feel free to go to Tutorial 44: Logarithmic Properties . I think you are ready to get started. Step 4: Solve for x . Now that the variable is out of the exponent, solve for the variable using inverse operations to complete the problem.
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Special Note: The only way we can get that variable out of the exponent, when the bases don't match up, is to use logs. The 3rd step allows us to do this. When solving an equation, it
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This note was uploaded on 02/18/2011 for the course MATH 101 taught by Professor Kindle during the Spring '11 term at South Texas College.

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Solving Exponential Equations - Solving Exponential...

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