Logarithm

Expand

• log₈ x + log₈ y + log₈ z

• 5log₈ x + 5log₈ y + 5log₈ z

• log₈ xy + 5log₈ z

• log₈ x + log₈ y + 5log₈ z

Expand

• 5log₅ a - 6log₅ b

• 5log₅ a - 30log₅ b

• 5log₅ a + 30log₅ b

• 30log₅ b - 5log₅ a

Expand log₅(u³v⁵)

• 1/2(log₅u+log₅v+log₅uw)

• 5 log₅ u - 15 log₅ v 

• log₅u + log₅v +3 log₅w

• 3 log₅u + 5 log₅v

Rewrite the equation into logarithmic form:
6² = 36

• log₆ 2 = 36

• log₆ 36 = 2

• ln 36 = 2

• 6³⁶ = 2

log₂(¹/₈) = -3

• 2^-3 = ¹/₈

• 2^1/8 = -3

• -3² = ¹/₈

• -3^1/8 = 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

Expand the following logarithm: 
log₂ 6/y 

• log₂ 6 - log₂ y 

• log₂ y - log₂ 6 

• 2log 6 + 2log y

• log₂ 6 - y

Expand the following logarithm: 
log_b x²y/z³  

• log_b 2x + log_b y - log_b 3z

• 2log_b x + log_b y - 3log_b z

• 2log_b x + log_b y + 3log_b z

• 2log_b x - log_b y - 3log_b z