SOLVING EXPONENTIAL EQUATIONS


Note:

If you would like an in-depth review of exponents, the rules of exponents, exponential functions and exponential equations, click on exponential function.



Solve for x in the following equation.

Example 3:tex2html_wrap_inline155tex2html_wrap_inline108


The first step is to isolate the expression tex2html_wrap_inline110 .


Subtract 100 from both sides of the equation.


tex2html_wrap_inline108


tex2html_wrap_inline116



Divide both sides of the equation by 100.


tex2html_wrap_inline116


tex2html_wrap_inline122


tex2html_wrap_inline124



There is no values of x where the expression tex2html_wrap_inline126 can equal zero. Therefore, this equation has no real solution.


You can also check your answer by graphing tex2html_wrap_inline128 (formed by subtracting the right side of the original equation from the left side). Look to see where the graph crosses the x-axis; that will be the real solution. Note that the graph never crosses the x-axis. This means that there are no real solutions.








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If you would like to test yourself by working some problems similar to this example, click on Problem


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Author: Nancy Marcus

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