Power Property of Logs

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

BONUS: Expand log₆(5x³/y).

• log₆5x³-log₆y

• log₆5+log₆x³-log₆y

• log₆5+3log₆x-log₆y

Which of the following illustrates the Power Property of Logarithms

• log₅(m)ⁿ = n + log₅(m)

• log₅(m)ⁿ = n ⋅ log₅(m)

• log₅(m)ⁿ = log₅(n ⋅ m)

Which of the following illustrates the Power Property of Logarithms?

• log₅ (m)ⁿ = n + log₅ (m)

• log₅ (m)ⁿ = n ⋅ log₅ (m)

• log₅ (m)ⁿ = log₅ (n ⋅ m)

What is the power property of logarithms?

• log_b(a^c) = c * log_b(a)

• log_b(a^c) = log_b(a) / c

• log_b(a^c) = log_b(a) + c

• log_b(a^c) = log_b(a) - c

Which property of logarithms does this equation demonstrate?

• Power Property

• Quotient Property

• Product Property

Which property of logarithms does this equation demonstrate?

• Power Property

• Quotient Property

• Product Property

Which is the power property of logarithms?

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

Mathematical Equivalence

ON