Provide an appropriate response.With the function f(x) = logax, why can't x be less than 0?

What will be an ideal response?


Answers may vary. One possibility: The function is defined for all positive numbers a,  Since a positive number raised to any real-number exponent is a positive number, x must be positive, too. That begs the question of why a must be positive. Assume that a is a negative number. A negative number raised to certain powers (e.g., 1/2) would yield a non-real number.

Mathematics

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Find the second derivative of the function.y = 

A.  =  + 
B.  =  + 
C.  = -  - 
D.  = -  - 

Mathematics

Solve.log21 = x

A. {0} B. {1} C. {4} D. {2}

Mathematics

Consider the series ? . ? Determine whether the geometric series converges or diverges.   ? If it converges, find its sum.

What will be an ideal response?

Mathematics

Find the length of the arc intercepted by a central angle ? in a circle of given diameter or radius. Round your answer to as many places as your calculator will allow.Radius 23.4 m, ? =  radians

A. 29.4053072 m B. 9.36 m C. 58.5 m D. 183.78317 m

Mathematics