Product Property of Logarithm

Write log_b(xy) as two logs

• log_bx+log_by

• log_bx-log_by

• log_bx*log_by

• log_bx/log_by

Condense

• A

• B

• C

• D

Expand

• A

• B

• C

• D

Expand the logarithm.

• A

• B

• C

• D

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

• Power Property

• Definition-Based Property

• Product Property

• Quotient Property

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)

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)

log(3x)²

• 2log(3+x)

• 2log3+logx

• log3+2logx

• 2(log3+logx)

log(xy²)

• logx+2logy

• logx+logy²

• logx-2logy

• logx+logy+log2

Use the properties of Logs to rewrite the logarithmic expression as a single logarithm with the same base.

Mathematical Equivalence

ON