SOLVING EXPONENTIAL EQUATIONS
SOLVING EXPONENTIAL EQUATIONS 
Note:
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Solve for the real number x in the following equation.
Problem 7.6 e:
Answer:
The approximate answer is
Your first objective is to isolate the term. 
Add 
to both sides of the equation .
Multiply both sides of the equation by 3.
Your second objective is to isolate the variable x.
Take the natural logarithm of both sides of the equation 
The exact answer is 
and the
approximate answer is 
Check this answer in the original equation.
Check the solution 
by
substituting 
in the original equation for x. If
the left side of the equation equals the right side of the equation after
the substitution, you have found the correct answer.
for x, then 
is a solution.
You can also check your answer by graphing 
(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 crosses the x-axis at This means that is the real
solution.
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