Logarithm

Expand

• 5log₅ a - 6log₅ b

• 5log₅ a - 30log₅ b

• 5log₅ a + 30log₅ b

• 30log₅ b - 5log₅ a

Expand

• log₈ x + log₈ y + log₈ z

• 5log₈ x + 5log₈ y + 5log₈ z

• log₈ xy + 5log₈ z

• log₈ x + log₈ y + 5log₈ z

Expand log₅(u³v⁵)

• 1/2(log₅u+log₅v+log₅uw)

• 5 log₅ u - 15 log₅ v 

• log₅u + log₅v +3 log₅w

• 3 log₅u + 5 log₅v

Rewrite log₂8 = 3 in exponential form

• 2⁸ = 3

• 2³ = 8

• 3² = 8

• 8³ = 2

Rewrite the equation into logarithmic form:
6² = 36

• log₆ 2 = 36

• log₆ 36 = 2

• ln 36 = 2

• 6³⁶ = 2

Evaluate the log by thinking " 3 to what power is 1/9" so

log₃(1/9) =

• 1/2

• 2

• -2

• 3

Evaluate by thinking 4 to what power is 16, so

log₄16

• 2

• 4

• 1/2

• -2

True or False: log₈64=2

• True

• False

log₂(x + 2) + log₂x  = 3

• -4, 2

• -2, 4

• 2 ;  -4 is extraneous

• 1 ;  -3 is extraneous

Evaluate. 

• A

• B

• C

• D