If you would like an in-depth review of logarithms, the rules of logarithms, logarithmic functions and logarithmic equations, click on logarithmic functions.
Solve for x in the following equation.
The above equation is valid only if the term is valid. The term is valid only if Therefore, the equation is valid when Another way of saying this is that the domain is the set of real numbers where
Convert the logarithmic equation to an exponential equation with base
Since the left side of the original equation is equal to the right side of the original equation after we substitute the value 2.10253638412 for x, then x=2.10253638412 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 2.10253638412. This means that 2.10253638412 is the real solution.
If you have trouble graphing the function , graph the equivalent function
If you would like to review the solution to problem 8.4d, click on solution.
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If you would like to go back to the equation table of contents, click on contents.
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