Provide an appropriate response.Why can the equation log9(x - 5) = log9(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). In this case, that is the equation 
Though this related equation has a solution, there are two quick ways to see that it will not solve the original logarithmic equation:
1) By inspection, (x - 5) and (5 - x) are negatives. Thus, at most, one of these expressions is positive. Since log u is only defined when 
there can be no solution to the logarithmic equation.
2) The only way that an expression can be equal to its negative is if the expression has a value of 0. Since log u is defined only when 
both logarithms are undefined at the solution of the related equation. Thus, there is no solution to the original logarithmic equation.
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Solve the problem.Find the extreme values of 
subject to 
and 
A. Maximum: 
at 
minimum: - 
at 
B. Maximum: 
at 
minimum: - 
at 
C. Maximum: 
at 
minimum: - 
at 
D. Maximum: 
at 
minimum: - 
at 
Determine whether the statement is true or false.? < 3
A. True B. False
Graph the numbers on a number line.- 
, -2, 0, 
A. 
B. 
C. 
D. 
Find the phase shift of the function.y = 2 cos (3?x + 5)
A. 5 units to the right
B. 
units to the right
C. 5 units to the left
D. 
units to the left