Logarithms

Using the change of base rule, what is this logarithm equivalent to?

• A

• B

• C

• D

Evaluate the following logarithm:

log₄2

• -¹/₂

• -2

• 2

• ¹/₂

Evaluate the following logarithm:

log₁₅1

• 1

• 0

• -1

• ¹/₂

Which equation is the inverse of the equation above?

• 
• 
• 
• 

Write in logarithmic form.
2^-4 = ¹/₁₆

• log₂(¹/₁₆) = -4

• log_-4(¹/₁₆) = 2

• log _-4 2 = ¹/₁₆

• log₂(-4) = ¹/₁₆

Expand

• A

• B

• C

• D

Solve the equation for x.

• 32

• 25

• 1.66

• 512

log₂32 = 5

• 2^-5 = 32

• 2³² = 5

• 2⁵ = 32

• 32⁵ = 2

Rewrite 3⁴ = 81 in logarithmic form.

• log₃4 = 81

• log₈₁3 = 4

• log₃81 = 4

• log₄81 = 3