Exponential-Log-Equations

Exponential-Log-Equations - Exponential and Log Equations...

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From MathMotivation.com – Permission Granted For Use and Modification For Non-Profit Purposes Exponential and Log Equations An exponential or log equation is defined her as any equation that contains one or more exponential or logarithmic terms. We will use the property that allows us to take the log of both sides of an equation shown immediately below. Also, in some cases we will solve equations by doing what is often described as “unlogging” both sides of an equation, also covered in this property. Logarithms of Both Sides of an Equation Given two positive quantities, U and V, and a legitimate base a , If U = V, Then LOG a (U) = LOG a (V). and likewise If LOG a (U) = LOG a (V), then U = V. Mathematically, we can write this as U = V if-and-only-if LOG a (U) = LOG a (V) . Solving Exponential Equations: To solve an equation containing exponential terms, use the following procedure: 1. Isolate the exponential term on one side of the equal sign. 2. Take the log function of both sides. Use base-10 or base-e logs and match the base of your exponential if possible. 3. Apply the Power Rule for Logs to move the exponent in front of the log. 4.
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Exponential-Log-Equations - Exponential and Log Equations...

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