Use properties of logarithms to expand the logarithmic expression as much as possible. Where possible, evaluate logarithmic expressions without using a calculator.log5x7

A. 5log7x
B. 7log5x7
C. 7log5x
D. 5 log x


Answer: C

Mathematics

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The floor of a lake slopes downward in a straight line. The depth 27 feet from shore is 16 feet. At what distance from shore is the depth 40 feet? ?

A. 67.50 feet B. 24.52 feet C. 23.70 feet D. 67.67 feet

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Verify that each equation is an identity.sin(4x) = (4 sin x cos x)(2 cos2 x - 1)

What will be an ideal response?

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Solve the problem.The circle graph shows the fraction of books read by students in grades one through five. What fraction of books was read by students in grades other than fourth and fifth?

A.  of books
B.  of books
C.  of books
D.  of books

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Determine any local or absolute extrema as indicated.Estimate graphically the local extrema of 

A. Local maximum: 9.20; local minimum: 1.06 B. Local maximum: -2.79; local minimum: 0 C. Local maximum: 8.65; local minimum 0.91 D. Local maximum: 7.86; local minimum: 1

Mathematics