5.5 Properties of Logarithms

The common logarithm has what base?

• 10
• 0
• e
• -e

Write log_b(xy) as two logs

• log_bx+log_by
• log_bx-log_by
• log_bx*log_by
• log_bx/log_by

Write log_b(x/y) as two logs

• log_bx-log_by
• log_bx+log_by
• log_bx*log_by
• log_bx/log_by

Rewrite log_b(xⁿ)

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

Evaluate log_b(b)

• -1
• 0
• 1
• b

Expand

• A
• B
• C
• D

Expand

• A

• B

• C

• D

• 6log₈(xyz)
• log₈(x) - log₈(y) - 6log₈(z)
• log₈(x) + log₈(y) - log₈(z)
• log₈(x) + log₈(y) + 6log₈(z)

Condense

• A
• B
• C
• D

Condense

• A
• B
• C
• D