Logarithms Test Review

Use change of base to evaluate log₄32

• 8

• 5/2

• 2/5

• 3/2

Solve for x if 5^x = 150

• 30

• 3.11

• .32

• 3.29

Solve for x if 6^x = 54

• 9

• 2.23

• .45

• 2.1

Solve the logarithmic equation:

log₂(x+3)=4

• 16

• 13

• 3

• 10

Solve the logarithmic equation:

log₄(3x-1)=log₄(2x+3)

Remember to check your answer! You can't take the log of 0 or a negative number.

• 4

• 3

• 1

• 8

Solve the logarithmic equation:

log₂(x² - 6) = log₂(2x+2)

Remember to check your answer! You can't take the log of 0 or a negative number.

• 4

• 6

• 4, 6

• No solution

Solve the equation using properties of logs:

log₂(x + 2) + log₂x = 3

Remember to check your answer! You can't take the log of 0 or a negative number.

• -4, 2

• 2

• 4, -2

• No solution

What is the domain of log(x)?

• (-∞, ∞)

• [0, ∞)

• (0, ∞)

• Pickle

Match the graph with its equation

• y = log₄ (x)+2

• y = log₄ (x + 2) + 1 

• y = log₄ (x - 1) + 2

• y = log₄ (-x + 2)