Provide an appropriate response.Why can the equation log7(x - 5) = log7(5 - x) be said to have no solution?

What will be an ideal response?


Answers may vary. One possibility: To solve an equation of the form  one attempts to solve the related equation f(x) = g(x), which in this case is the equation  Though this related equation has a solution, there is a quick way to see that it will not solve the original logarithmic equation. By inspection, (x - 5) and (5 - x) are negatives. For them to be equal, either one is negative, or both are equal to 0. Since log u is only defined when  inserting the solution of the related equation into the original equation would make at least one of the logarithms undefined. Thus, there is no solution to the original logarithmic equation.

Mathematics

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Provide an appropriate response.Solve the equation: 6 = 9x - x

A. x = 
B. x = 
C. x = 
D. x = 

Mathematics

Answer the question or give an explanation.Describe the effect on merchants and customers if credit card usage suddenly stopped.

What will be an ideal response?

Mathematics

Determine the reference angle for the given angle.? = - 

A.
B.
C.
D.

Mathematics

Identify the property that allows you to conclude that the triangles are congruent. Or, if such a conclusion cannot be made, answer "None."

A. ASA B. None C. SAS D. SSA

Mathematics