Review: 2.10 - 2.12 Logs

What type of function does the table represent?

• Exponential: Constant input, proportional output

• Exponential: Constant output, proportional input

• Logarithmic: Constant input, proportional output

• Logarithmic: Constant output, proportional input

Which of the following best describes the graph of f?

• Increasing at an increasing rate

• Decreasing at an increasing rate

• Increasing at a decreasing rate

• Decreasing at a decreasing rate

• Increasing and concave down

• Increasing and concave up

• Decreasing and concave down

• Decreasing and concave up

• A

• B

• C

• D

• (-5, ∞)

• (5, ∞)

• (3, ∞)

• (-∞, 0)

• (-∞, -5)

• ln2+2lnx+lny+4lnz

• ln2+2lnx+lny-4lnz

• 2ln(2xy)-4lnz

• 2ln2x+lny-4lnz

Use multiple log properties to write as a single log:
log₂x -  5log₂y

• log₂(x/y⁵)
• log₂(xy⁵)
• log₂(x/y)⁵
• log₂(x/5y)

• log₅(x²z²y¹⁰)
• log₅(z²y²x¹⁰)
• log(zy²x¹⁰)
• log₅(z² + y² + x¹⁰)