Unit 2 Test Correction

Given: 3^x = 30. Which of the following expressions is the value of x?

• log_3 30

• log 30 / 3

• sqrt(30)

• 30 / 3

Tags

CCSS.HSF.BF.B.5

Enter the value of x in the equation log_3(6x - 3) = 2.

Which of these is equivalent to the value of log base 2 of 5?

• log base 5 of 2

• log 10

• log 32

• log base 5 of 5 over log base 2 of 5

A Petri dish starts off with 5 bacteria. The number of bacteria grows at a rate of 3.5% per minute. How many minutes will it take the Petri dish to have 10 bacteria? Round to the nearest minute.

Tags

CCSS.HSF.LE.A.4

The organizers of a single-elimination tennis tournament created a table that relates the number of matches played in the tournament, x, and the number of rounds in the tournament, y. Enter a logarithmic expression that is equivalent to y in the box below.

Which of the following functions BEST represents positive exponential growth?

• f(x) = 6 * (8/7)^x

• f(x) = 4 * (3/4)^x

• f(x) = -5 * (1/3)^x

• f(x) = -3/2 * 5^x

Tags

CCSS.HSF-IF.C.8B

A scientist is studying how bacteria thrive under different conditions of temperature and pressure. The scientist develops bacteria population models for the different conditions, as shown below. The models predict the bacteria population, P, after t hours. - Condition 1: P(t) = 500(0.3)^t - Condition 2: P(t) = 500(1.65)^t - Condition 3: P(t) = 500(0.95)^t - Condition 4: P(t) = 500(0.2)^t Which condition models an exponential growth of the bacteria population over time?

• P(t) = 500(0.3)^t

• P(t) = 500(1.65)^t

• P(t) = 500(0.95)^t

• P(t) = 500(0.2)^t

Tags

CCSS.HSF.LE.A.2

A large chess tournament starts with 1,024 players. After each round, half of the players are eliminated. Write an equation that represents the number of players, y, that remain after x rounds.

Tags

CCSS.HSF-BF.A.1A

Which logarithmic equation represents the solution to 2^w = 32?

• A. log_2 32 = 4

• B. log_2 32 = 5

• C. log_2 32 = 16

• D. log_2 32 = 6

Tags

CCSS.HSF.BF.B.5

Which of these represents the value of log_5 200 rounded to the nearest hundredth?

• A. 2.30

• B. 3.29

• C. 20.00

• D. 40.00