Express as a single logarithm, and, if possible, simplify.3 log3 (2x - 1) + 2 log3 (6x - 2)

A. 6 log3 (2x - 1)(6x - 2)
B. log3((2x - 1)3(6x - 2)2)
C. log3((2x - 1)3 + (6x - 2)2)
D. log3 


Answer: B

Mathematics

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Solve the problem.Suppose the demand for a certain item is given by  where p represents the price of the item. Find D'(7).

A. -42 B. -40 C. -52 D. -54

Mathematics

Completely factor the polynomial or state that the polynomial is prime.125 - 8x3

A. (5 - 2x)(25 + 4x2) B. (125 - 2x)(1 + 10x + 4x2) C. (5 + 2x2)(25 - 10x + 4x2) D. (5 - 2x)(25 + 10x + 4x2)

Mathematics

First, use front end rounding to estimate each answer. Then find the exact answer.A strip of road 3060 feet long is paved in blocks of 17 feet. How many such blocks are there?

A. estimate: 4000 ÷ 20 = 200 blocks; exact: 3060 ÷ 17 = 180 blocks B. estimate: 3000 ÷ 20 = 150 blocks; exact: 3060 ÷ 17 = 180 blocks C. estimate: 3000 ÷ 15 = 200 blocks; exact: 3060 ÷ 17 = 180 blocks D. estimate: 4000 ÷ 16 = 250 blocks; exact: 3060 ÷ 17 = 180 blocks

Mathematics

Provide an appropriate response.Is the logarithm to the base 5 of 2 written as "log2" or"log5"?

Fill in the blank(s) with the appropriate word(s).

Mathematics