Product Property of Logs

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)

Use the properties of logarithms to retwrite

• A

• B

• C

• D

What is the product property of logarithms?

• log(a + b) = log(a) + log(b)

• log(a ^ b) = b * log(a)

• log(a * b) = log(a) + log(b)

• log(a / b) = log(a) - log(b)

Name the following log property: \log_b\left(mn\right)=\log_bm+\log_bn.

• Power Property

• Definition-Based Property

• Product Property

• Quotient Property

Which of the following illustrates the Product Property of Logarithms

• log₃(x) ⋅ log₃(y) = log₃(x+y)

• log₃(x) ⋅ log₃(y) = log₃(xy)

• log₃(x) + log₃(y) = log₃(xy)

Mathematical Equivalence

ON

Which is the product property of logarithms?

Which of the following illustrates the Product Property of Logarithms?

• log₃ (x) ⋅ log₃ (y) = log₃ (x+y)

• log₃ (x) ⋅ log₃ (y) = log₃ (xy)

• log₃ (x) + log₃ (y) = log₃ (xy)