Rewrite the expression as the sum and/or difference of logarithms, without using exponents. Simplify if possible.log2

A.  log2m +  log2n -  log2k
B. 5 log2m + 9 log2n - 2 log2k
C.  log2m +  log2n - 2 log2k
D.  log2m ?  log2n ÷ 2 log2k


Answer: C

Mathematics

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Replace the polar equation with an equivalent Cartesian equation. r = 46 sin ?

A. x2 + (y - 23)2 = 529 B. y = 46 C. (x - 23)2 + y2 = 529 D. x2 + (y - 46)2 = 529

Mathematics

Evaluate the integral by first performing long division on the integrand and then writing the proper fraction as a sum of partial fractions.

A.   + 16x + 32 ln   - 32 ln   + C
B.   + 16x + 32 ln   - 32 ln   + C
C.   + 8 ln   - 8 ln   + C
D.   + 16x - 32 ln   + 32 ln   + C

Mathematics

Solve for the variable.x - 17 = -12

A. -29 B. -5 C. --29 D. 5

Mathematics

Answer each question appropriately.Suppose the area of the region between the graph of a positive continuous function f and the x-axis from x = a to x = b is 7 square units. Find the area between the curves y = f(x) and y = 5f(x).

A. -28 square units B. 35 square units C. 42 square units D. 28 square units

Mathematics