Properties of Logarithms

Properties of Logarithms

Content Objective

• I will analyze and use the properties of logarithms

Language Objective

• I will write the properties of logarithms and expand and condense logarithmic expressions

Multiple Choice

Expand

• A

• B

• C

• D

Multiple Choice

log₈8

• 8
• -8
• 1
• 0

Multiple Choice

log₃3⁴

• 3
• 4
• 1
• 0

Multiple Choice

• A
• B
• C
• D

Multiple Choice

• A
• B
• C
• D

Multiple Choice

• log (a⁵ + b²⁵)
• log (a⁵ − b²⁵)
• log (ab²⁵)
• log (a⁵/b²⁵)

Multiple Choice

Rewrite log_b(xⁿ)

• nlog_bx
• (log_bx)ⁿ
• xⁿlog_bx
• log_b(xⁿ)

Multiple Choice

Expand

• 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

Condense

• A
• B
• C
• D

Multiple Choice

Condense

• A

• B

• C

• D

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