To solve an exponential equation, take the log of both sides, and
solve for the variable.
Example 7: Solve for x in the equation
Solution:
is the exact answer and is the approximate answer.
Check: Let's check the approximate answer with the original problem. When we substitute the above value of x in the left side of the equation, we get
You can also check your answer by graphing the function
and note where the graph crosses the x-axis. If you have worked the problem correctly, it should be the same value of x.
If you would like to review another example, click on Example.
Do you need more help? Please post your question on our S.O.S. Mathematics CyberBoard.
Author: Nancy Marcus