Use properties of logarithms to expand the logarithmic expression as much as possible. Where possible, evaluate logarithmic expressions without using a calculator.log33 -4
A. -4log33
B. 3log34
C. -12 log 3
D. 3log43
Answer: A
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A cathedral ceiling (shown below) is 8 feet high at the west wall of a room. As you go from the west wall toward the east wall, the ceiling slants upward. Three feet from the west wall, the ceiling is 10.5 feet high.
?
A: What is the slope of the ceiling?B: The width of the room is 16 feet. Use your answer to part A to determine how high the ceiling is at the east wall.C: If you stand on a ladder, you can reach 13 feet high. Use your answer to part A to determine the farthest distance from the west wall at which you can stand on the ladder and reach the ceiling.
What will be an ideal response?
Find the polar coordinates, 
and 
, of the point given in Cartesian coordinates.(2, 2)
A. 
B. 
C. 
D. 
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.log2(x - 3) - log2(x - 5)
A. log2
B. log2(x2 - 8x + 15)
C. log22
D. log2
Write the partial fraction decomposition of the rational expression.
A. 
+ 
+ 
B. 
+ 
+ 
C. 
+ 
+ 
D. 
+ 
+ 