Logarithms Practice

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

Write in exponential form.
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

Solve for x
5^x = 17

• x = log₁₇5
• x = log 5 + log 17
• x = log₅17
• x = (log 5)/(log 17)

6^-3x=216

• x=3

• x=-1

• x=6

• x=-3

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

• A
• B
• C
• D

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

• A
• B
• C
• D

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

• A
• B
• C
• D

Solve the log by using change of base )

log₄32

• 8

• 5/2

• 2/5

• 3/2

Solve the log using change of base
log₉27

• 3/2
• 2/3
• 3
• 0.5