## 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.

Problem 7.1d:

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.

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

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