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Steps for Solving Exponential Equations
1. isolate the exponential expression
2. use inverse properties --> log(b)B^x = x
3. solve for x
4. check solution
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Math Analysis – Exponential Equations Playlist Exponential Equations Playlist Concise instructional videos on Exponential Equations.
Math Analysis – Exponential Equations Exponential Equations Finding like bases In this tutorial the students will learn to solve an exponential equation.
Math Analysis – Natural Logarithms (logs) Exponential Equations Natural Logarithms (logs) In this tutorial students learn how to solve an exponential equation by using natural logs.
Solving for Unknown Exponents
Sometimes, you will be given an equation and be asked to solve for an exponent. For example:
It may seem obvious, but your solution is not complete. To solve completely, you must write 16 as a power of 4, so both sides of the equation have the same base.
Now, since the bases are equivalent, the exponents are equivalent. So we know that x = 2.
Example 2: