How To Solve Exponential Problems

How To Solve Exponential Problems-21
Exponential functions are functions that grows or decays at a constant percent rate.

Exponential functions are functions that grows or decays at a constant percent rate.

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Most problems that have to do with exponents on the ACT test you on your ability to simplify correctly.You'll see that it's not too difficult; you just need to make use of one other mathematical operation in order to solve your problems.Solving for your variable, usually x, is pretty straightforward when your x can easily be isolated through addition, subtraction, multiplication, or division.It's an equation that has exponents that are $$ \red$$.$$ \red 4^3 = \red 2^x $$ $$ \red 9^x = \red $$ $$ \left( \red \right)^ = \red 4^3 $$ $$ \red 4^ 1 = \red $$ In each of these equations, the base is different.This means trying to isolate your variable to the best of your ability. Remember, whatever you do on one side, you have to do to the other as well. This e is called Euler's number and is approximately equal to 2.71828.10Applying this property, you get this: x log (10) = log (28) x = log (28) x = 1.447 And you are done! If you see an exponential equation with this number in it, then instead of using the log function, you'll use the natural log function ln, since the natural log has a base of e. So if you have an e, then that means you have a base of e.Plus, get practice tests, quizzes, and personalized coaching to help you succeed.Try it risk-free Read this lesson to learn the steps you need to take to solve exponential equations.It is very important to get the hang of these because it lays the foundation for more advanced topics, such as logarithms and roots.There are two parts to an exponent: the base and the value of the exponent itself. Laid out like this, it is easy to see why exponents can be simplified.


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