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.








If you would like to work another example, click on Example


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


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