Expand each logarithm using the properties of logarithms.

a. log base b sqrt (3/7)

b. log 7x^3y^5

Sophia spent $7.30 for school supplies. she spent $3.00 for a notebook and$175 for a pen. she also bought 3 large erasers. if eacheraser had the same cost, how much did she spend for each eraser?

What is the value of the 4 in 1,574,833

How many quarts are in four cups of soymilk? A. 1 B. C. 2 D. 16

Andy reads 56 more pages of his book on Monday than Tuesday. He reads 125 pages on Monday. How many pages in all does he read on Monday and Tuesday

Carter finished cleaning his room at 11:35. It took him 10 minutes to put all his toys away and 4 minutes to make his bed. What time did Carter start cleaning his room.

A car decelerates at a constant rate as it approaches a red light. The velocity of the car in meters per second as it decelerates is modeled by the function f (x) = - 4x+20, where x is time in seconds.

Consider three persons, A, B, and C, who are to be seated in a row of three chairs. Suppose A and B are identical twins. How many seating arrangements of these persons can there be If you are a total stranger?

A cell phone company surveyed 200 random customers on whether they were satisfied with their phone service. They also noted which service plan each customer had.

Ksenia wants to chop broccoli and carrots for a competition. Her goal is to chop at least 20 vegetables (condition A) with a time limit of 540 seconds (condition B). What is the least number of carrots Ksenia must chop to meet both her constraints?

I started at my house at (-3,5) and started driving to fredericksburg. i got a flat tire halfway at (10,-5) how far would my whole trip have been if i didn't get a flat tired?