Use properties of logarithms to expand the logarithmic expression as much as possible. Where possible, evaluate logarithmic expressions without using a calculator.log5

A. 10 - log5x
B.
C. - 2log5x
D. 2 - log5x


Answer: D

Mathematics

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Find all the second order partial derivatives of the given function.f(x, y) = xye-y2

A.  = 0;  = 2xye-y2(2y2 - 3);   =  = e-y2(1 - 2y2)
B.  = ye-y2 = 2xye-y2(y2 - 1);   =  = e-y2(1 - y2)
C.  = ye-y2 = 2xye-y2(2y2 - 6);   =  = e-y2(1 - 2y2)
D.  = 0 ;  = 2xye-y2(2y2 - 3);   =  = e-y2(1 - y2)

Mathematics

Write an equation of the line through the given point with the given slope. Write the equation in slope-intercept form.(7, -3); slope: -4

A. y = -4x + 23 B. y = 4x + 24 C. y = -4x + 25 D. y = -4x + 26

Mathematics

Solve by completing the square. If the equation has no real solutions, write "no real-number solutions."2x2 + 4x - 16 = 0

A. -4, 2 B. - 2, 4 C. - 2, -4 D. 2, 4

Mathematics

Perform the indicated operation.48 cm - 20 mm (in centimeters)

A. 47.8 cm B. 460 cm C. 28 cm D. 46 cm

Mathematics