Write the expression as a sum, difference, or multiple of logarithms.log5

A. 25 + 6 log5x + 5 log5y - 3 log5z
B. 20 log5
C. 2 + 6 log5x + 5 log5y - 3 log5z
D. log525 + 6 log5x + 5 log5y - 3 log5z


Answer: C

Mathematics

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The period P, in years, of a planet is the time it takes to make a single orbit of the sun. The period is related to the distance D from the sun by the formula . A:  Neptune is 30 times as far from the sun as Earth. How long does it take Neptune to make a single orbit around the sun?B:  The period of Mercury is 88 days. Express the period of mercury in terms of years.C:  The Earth is 93 million miles from the sun. Use your answer to part B to determine how far Mercury is from the sun. ? Round your answers to two decimal places if necessary. ?

What will be an ideal response?

Mathematics

Solve. = -1

A. 3 B. 1 C. -1 D. No solution

Mathematics

The concentration of a drug in grams/cubic centimeter (g/cm3) t minutes after it has been injected into the bloodstream is given by   where w, p, and k are positive constants, with p> w. ? At what time is the concentration of the drug the greatest? What will be the concentration of the drug in the long run? ?

A.
B. ?
C. ?
D. ?

Mathematics

Find the LCD for the pair. Write the fraction pair as equivalent fractions with the LCD as their denominators.

A. (x + 6)2(x - 6)(x + 8); 
B. (x + 6)(x + 8); 
C. (x + 6)(x - 6)(x + 8); 
D. (x + 6)(x + 1)(x + 8); 

Mathematics