Logarithms Power Rule

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

Condense

• log₈ (x⁶)/log₈ (y³)

• log₈ (x⁶/y³)

• log₈ (x/y³)

• log₈ (x⁶y³)

Expand log₅(u³v⁵)

• 1/2(log₅u+log₅v+log₅uw)

• 5 log₅ u - 15 log₅ v 

• log₅u + log₅v +3 log₅w

• 3 log₅u + 5 log₅v

log(3x)²

• 2log(3+x)

• 2log3+logx

• log3+2logx

• 2(log3+logx)

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)

Which of the following is the power rule of logarithms?

What is the power rule for logarthims?