To solve an exponential equation, take the log of both sides, and
solve for the variable.
Example 9: Solve for x in the equation
Solution:
you will note that the graph crosses the x-axis at the origin. This means there is only one solution and that solution is 0.
can now be written
which can be written .
Check: Let's check the answer with the original problem. When we substitute the 0 for the value of x in the left side of the equation, we get
We have proved our answer.
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Author: Nancy Marcus