Sam is proving the product property of logarithms. Step

Justification

log, WN)

Given

log, (6* 3")

Substitution

Which expression and justification completes the third step of her proof?

O log, (3*); power rule of exponents

O log, (6*-)); subtraction property of exponents

O log, (3**");

power rule of exponents

10g, (6, division property of exponents

Imogene invested $8,000 in a bank account that pays 8 percent simple interest at the end of each year. her friend invested the same amount in stocks where the growth of the investment is represented as 2,000 times the square root of 2 less than the time lapsed in years. if y1 and y2 represent the amount earned in dollars and t is the time lapsed in years, which system of equations correctly represents the situation?

The perimeter of a rectangle is greater than or equal to 74 meters. if the length is 25 meters, the minimum width of the rectangle is meters.

Yahir designs bracelets. he uses between 9 and 15 red and yellow beads in the ratio of 2 red bead to 5 yellow beads. drag the beads into the container to meet these requirements