Product and Quotient Rule Logs

Condense

• A

• B

• C

• D

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

Use the properties of logs to write the expression as a single log.

log (a² * b) = ?

• 2log(a) + log(b)

• 2log(a) + 2log(b)

• log(a) + log(b)

• 2log(a) * log(b)

Use the properties of logs to write the expression as a single log.

Write log_b(x/y) as two logs

• log_bx -log_by

• log_bx + log_by

• log_bx * log_by

• log_bx / log_by

Write log_b(xy) as two logs

• log_bx + log_by

• log_bx - log_by

• log_bx * log_by

• log_bx / log_by

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

• 6 log₈(xyz)

• log₈(x) - log₈(y) - 6log₈(z)

• log₈(x) + log₈(y) - log₈(z)

• log₈(x) + log₈(y) + 6log₈(z)