If you would like an in-depth review of logarithms, the rules of logarithms, logarithmic functions and logarithmic equations, click on logarithmic function.
Solve for x in the following equation.
The equation is valid only if x2-7x+2>0 or
Isolate the log term..
The exact answers are and the approximate answers are 7.560819 and -0.560819.
These answers may or may not be the solutions. You must check them with the original equation, either by a numerical substitution or by graphing.
Check the answer by substituting 7.560819 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 answer by substituting -0.560819 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.
Graph the function
If you would like to work another example, click on example.
If you would like to test yourself by working some problems similar to this example, click on problem.
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If you would like to go back to the equation table of contents, click on contents.
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