Review Logarithm

Rewrite log_b(xⁿ)

• nlog_bx

• (log_bx)ⁿ

• xⁿlog_bx

• log_b(xⁿ)

Rewrite log_vn = a in exponential form.

• v^a = n

• n^a = v

• vⁿ = a

• aⁿ = v

Write the exponential equation as a logarithm 6^3=216

log₂32 = 5

• 2^-5 = 32

• 2³² = 5

• 2⁵ = 32

• 32⁵ = 2

Evaluate log₄1

• 1

• 0

• 4

• undefined

Use the change of base formula and your calculator to approximate the log.

• A

• B

• C

• D

Solve the equation.

• 4

• 10

• -2

• -6

Use the properties of logarithms to retwrite

• A

• B

• C

• D

Rewrite as a single logarithm:

• log 10

• log 21

• log 3/7

• log 3/log 7

Use the properties of logarithms to rewrite as the sum of two logarithms: \log55

• log 40 + log 15

• log 50 + log 5

• log 11 + log 5