Properties of Logarithms

Properties of Logarithms

Multiple Choice

What is the range of log(x)?

• (-2, 4)

• (-∞, ∞)

• (-∞, 0)

• Cucumber

Multiple Choice

What is the domain of log(x)?

• (-∞, ∞)

• [0, ∞)

• (0, ∞)

• Pickle

Multiple Choice

Do logarithms have a y-intercept?

• Maybe

• Yes

• No

• Mr. Headrick is awesome.

Multiple Choice

What is the x-intercept of log₇(x)?

• Pizza

• -1

• 0

• 1

Objective

• SWBAT choose and produce an equivalent form of an exponential expression IOT generate the expression from a real-world context.

• SWBAT identify and explain the properties of exponents used IOT rewrite expressions for exponential functions from a real-world context.

Multiple Choice

Condense

• A

• B

• C

• D

Multiple Choice

Expand

• A

• B

• C

• D

Multiple Choice

Write log_b(x/y) as two logs

• log_bx-log_by

• log_bx+log_by

• log_bx*log_by

• log_bx/log_by

Multiple Choice

Write log_b(xy) as two logs

• log_bx+log_by

• log_bx-log_by

• log_bx*log_by

• log_bx/log_by

Multiple Choice

Write as a single log: log 12 + 2 log x

• log (12 + 2x)

• log (14x)

• log (12 * 2x)

• log (12x²)

Multiple Choice

• log(x) + log(z) + 4log(y)

• 3log(x) − log(z) − 4log(y)

• 3log(x) + log(z) + 4log(y)

• log(x) − 4log(z) − 3log(y)

Multiple Choice

• log (a⁵ + b²⁵)

• log (a⁵ − b²⁵)

• log (ab²⁵)

• log (a⁵/b²⁵)

Multiple Choice

• log₅(x²z²y¹⁰)

• log₅(z²y²x¹⁰)

• log(zy²x¹⁰)

• log₅(z² + y² + x¹⁰)