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.2logy4 + logy3

A. logy6
B. 2logy12
C. logy24
D. logy48


Answer: D

Mathematics

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Find the fifth term and the nth term of the geometric sequence whose initial term, a, and common ratio, r, are given.a = 3; r = 

A. a5 = ; an = 3 ? n
B. a5 = ; an = 3 ? n-1
C. a5 = ; an = 3 ? n-1
D. a5 = ; an = 3 ? n

Mathematics

Perform the indicated operations. Simplify the answer. ? 

A. -16 B. 4i C. 4 D. 16i

Mathematics

Find the distance between the pair of points. Give an exact answer, and where appropriate, an approximation to three decimal places.(0, 0) and (c, d)

A.
B. c2 + d2
C. c + d
D.

Mathematics

Find an equation for the hyperbola described.Vertices at (0, ±10); asymptotes at y = ± x

A.  -  = 1
B.  -  = 1
C.  -  = 1
D.  -  = 1

Mathematics