Product Quotient Rules of Logs

Condense

• A

• B

• C

• D

Condense

• A

• B

• C

• D

Which of the following illustrates the Quotient Property of Logarithms

• log₄(x ÷ y) = log₄(x) - log₄(y)

• log₄(x ÷ y) = log₄(x) ÷ log₄(y)

• log₄(x - y) = log₄(x) ÷ log₄(y)

Condense

• A

• B

• C

• D

log (a * b) = ?

• log a * log b

• log a + log b

• log a - log b

• a*log b

log (a² * b) = ?

• 2log(a) + log(b)

• 2log(a) + 2log(b)

• log(a) + log(b)

• 2log(a) * log(b)

Write log_b(x/y) as two logs

• log_bx-log_by

• log_bx+log_by

• log_bx*log_by

• log_bx/log_by

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

• log₂(x/y⁵)

• log₂(xy⁵)

• log₂(x/y)⁵

• log₂(x/5y)

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

• log(x) + log(z) + 4log(y)
• 3log(x) − log(z) − 4log(y)
• 3log(x) + log(z) + 4log(y)
• log(x) − 4log(z) − 3log(y)