SOLVING EXPONENTIAL EQUATIONS  Example
To solve an exponential equation, take the log of both sides, and
solve for the variable.
Example 8: Solve for x in the equation
Solution:

 Step 1: Isolate the exponential term using steps 2 through 6.

 Step 2: Divide both sides of the above equation by 2000:

 Step 3: Subtract 1 from both sides of the above equation:
or

 Step 4: Multiply both sides of the above equation by
:

 Step 5: Divide both sides of the above equation by 0.95:

 Step 6: Subtract 4 from both sides of the above equation:

 Step 7: There is no way that the positive number e raised to a power will yield a negative number. There is no solution.
You could also graph the function
and note that the graph does not cross the xaxis. This means there is no
real solution.
If you would like to review another example, click on
Example.
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