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EXPONENTIAL EQUATIONS

Note:

- To solve an exponential equation, isolate the exponential term, take
the logarithm of both sides and solve.

If you would like an in-depth review of exponents, the rules of exponents,
exponential functions and exponential equations, click on exponential function

**Solve for the real number x in the following equation.**

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Problem 7.1d:

Answer:There is no real answer.

Solution:

If you did not make this observation early on, you'd catch it during the
process of solving or checking your answer.

Take the natural logarithm of both sides of the equation

You cannot take the natural logarithm of a negative number and come up with
a real number answer.

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 never crosses the x-axis. This means that
there is no real solution.

**
If you would like to go back to the beginning of this section, click
on Beginning.
**

If you would like to go to the next level of solving exponential equations,
click on Next.

If you would like to go back to the equation table of contents, click
on Contents.

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