An exponential equation is an equation where the variable appears in the exponent.
Exponential equations are used to model real-world scenarios involving:
Exponential growth.
Exponential decay.
Note
The key to solving exponential equations is to isolate the exponential termand then use logarithmsto solve for the variable.
Solving Exponential Equations
Solving for the Output
When solving for the output of an exponential function:
Substitute the given input into the equation.
Evaluate the expression to find the output.
Self review
1. Can you create an exponential equation for a scenario involving exponential decay, such as radioactive decay or cooling of an object? 2. How would you solve an exponential equation if the base is not a simple number like \$2\$ or \$10\$?
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