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.log8(x + 3) - log8(x - 1)

A. log8(x2 + 2x - 3)
B. log8
C. log8 4
D. log8

Answer: D

Mathematics

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Find the standard-form equation for an ellipse which satisfies the given conditions.An ellipse centered at the origin having focus (, 0) and directrix x =  

A. x2 +  = 1
B.  +  = 1
C.  + y2 = 1
D.  + y2 = 1

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Express the vector in the form ai + bj + ck.9u - 5v if u =  and v = 

A. v = 9i + 9j  - 5k B. v = -6i + 9j  - 5k C. v = 24i + 9j  - 5k D. v = -6i + 14j  - 5k

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Find the exact value of the expression.csc 

A.  - 
B.  + 
C.
D.  - 

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Mathematics

Solve the problem.The sum of the squares of the digits of a positive two-digit number is 85, and the tens digit is 1 less than the units digit. Find the number.

A. 65 B. 56 C. 67 D. 76

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Mathematics