AP Unit 2C Logarithm Rules Mini Practice

Front

Write in exponential form: log₂32 = 5

Back

2⁵ = 32

Front

Evaluate: log₉3

Back

1/2

Front

Simplify: log₂(2+3)

Back

log₅/log₂

Front

Evaluate: log₁₀1000

Back

3

Front

Is this statement true? logₕ(M+N) = logₕM + logₕN

Back

False: logₕ(M+N) = log(M+N)/log(h)

Front

What is the base of a logarithm?

Back

The base of a logarithm is the number that is raised to a power to obtain a given number.

Front

What is the change of base formula?

Back

logₐb = logₓb / logₓa for any base x.

Front

What is the product rule for logarithms?

Back

logₐ(MN) = logₐM + logₐN.

Front

What is the quotient rule for logarithms?

Back

logₐ(M/N) = logₐM - logₐN.

Front

What is the power rule for logarithms?

Back

logₐ(M^p) = p * logₐM.