Provide an appropriate response.A student claims that since logbx = a is not defined for negative values of x, then a must also not be negative. What is wrong with this statement?
What will be an ideal response?
a is an exponent, and if a positive b is raised to a negative power the result will be positive. So, it is possible that a be negative when x is positive.
You might also like to view...
Solve the initial value problem.Differential Equation: 
= (-cos t)i + (4t3- 2)jInitial Condition: r(0) = 9j
A. r(t) = (sin t)i + (12t2 + 9)j B. r(t) = (-sin t)i + (t4)j C. r(t) = (-sin t)i + (t4 + 9)j D. r(t) = (-sin t)i + (t4- 2t + 9)j
Solve the problem.The Habers purchase a $7000 living room set, putting $500 down and agreeing to pay $350.50 each month for 2 years. After 14 payments, they decide to pay off the note. How much is saved in interest? How much is needed to pay the balance of the loan?
A. $350.53, $3154.47 B. $353.37, $3152.13 C. $357.65, $3147.85 D. $351.71, $3153.79
Use the elimination method by addition to find the solution for the following system.
A. x = 0, y = - 
B. x = 5k + 1, y = k, for any real number k.
C. x = 1, y = 0
D. The system is inconsistent.
Solve the system.x - z = 2y + z = 8x + z = 9
A. 
B. {(2, 8, 0)}
C. {(11, 9, 7)}
D. 