Product Property of Logarithms

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)

• Power Property

• Definition-Based Property

• Product Property

• Quotient Property

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

Mathematical Equivalence

ON

log(xy²)

• logx+2logy

• logx+logy²

• logx-2logy

• logx+logy+log2

Condense: log16 + log2 - log8

• log4

• log8

• log10

• log24

Which is the product property of logarithms?