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 x in the following equation.
The first step is to isolate .
Subtract 14 from both sides of the equation.
Take the natural logarithm of both sides of the equation..
Check the solution by substituting 1.118639 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.
Check the solution by substituting -3.618639 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.
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 1.118639 and -3.618639. This means that 1.118639 and -3.618639 are the real solutions.
If you would like to review the solution to problem 7.7b, click on Problem
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