To solve an exponential equation, take the log of both sides, and
solve for the variable.
Example 1: Solve for x in the equation
Solution:
is the exact answer and
rounded to 3.328 is an approximate answer because we rounded.
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
Close enough to 45. Remember it will not check directly because we rounded the answer. If you choose to round to only 2 or 3 decimals, the difference between the check answer and 45 would be greater.
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