Rewrite as a single logarithm using the product rule for logarithms. Assume all variables represent positive real numbers.log36 + log3x
A. log3(6x)
B. log36x
C. log18x
D. log3(x + 6)
Answer: A
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Solve the problem.Construct a possibility tree that shows all possible 2-letter code words using only the letters c and d without repetition.
A.
| /\ |
| c | d |
| /\ | /\ |
| c | d | c | d |
B.
| | |
| c |
| | |
| d |
C.
| /\ |
| c | d |
| | | | |
| d | c |
D.
| /\ |
| c | d |
| /| | | |
| c | d | c |
Strontium 90, a radioactive isotope of strontium, is present in the fallout resulting from nuclear explosions. It is especially hazardous to animal life, including humans, because, upon ingestion of contaminated food, it is absorbed into the bone structure. Its half-life is 27 years. If the amount of strontium 90 in a certain area is found to be eight times the "safe" level, find how much time must elapse before an "acceptable level" is reached. ? __________ years
Fill in the blank(s) with the appropriate word(s).
Use the formula for the general term (the nth term) of a geometric sequence to find the indicated term of the sequence with the given first term, a1, and common ratio, r.Find a11 when a1 = 1000, r = 
.
A. 
B. 
C. 
D. 
Solve.A box is constructed by cutting out square corners of a rectangular piece of cardboard and folding up the sides. If the cutout corners have sides with length x, then the volume of the box is given by the polynomial 
Factor out the greatest common factor for this expression.
A. 4x(x2 - 18x + 45) B. 4(x3 - 18x2 + 45x) C. 4x(x2 + 18x + 45) D. 2x(2x2 - 36x + 90)