Use properties of logarithms to condense the logarithmic expression. Write the expression as a single logarithm whose coefficient is 1. Where possible, evaluate logarithmic expressions.(logaq - logar) + 5logap

A. loga
B. loga 
C. loga 
D. logaqp5r 


Answer: C

Mathematics

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Graph the function by starting with the graph of the basic function and then using the techniques of shifting, compressing, stretching, and/or reflecting.f(x) = 6x3

A.

B.

C.

D.

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Factor the polynomial by grouping.15x2 + 10x + 18x + 12

A. (5x - 6)(3x - 2) B. (15x + 6)(x + 2) C. (15x - 6)(x - 2) D. (5x + 6)(3x + 2)

Mathematics

Use the table to solve the equation.8 + 2x = x + 1

A. x = -6 B. x = -5 C. x = -7 D. x = 9

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Solve.On a sunny day, a building and its shadow form the legs of a right triangle. If the hypotenuse of the triangle is 32 m long and the shadow is 23 m, how tall is the building? Round to the nearest tenth of a meter.

A. 22.3 m B. 9.0 m C. 39.4 m D. 22.2 m

Mathematics