Lesson 8 Assignment A2M3

Rewrite the following in the form log_b(𝑥) = 𝐿.

16^1/4=2

• log₁₆ 1/4 = 2

• log₁₆ 2 = 1/4

• log₂ 8 = 1/4

• log _1/4 8 = 2

Rewrite the following in the form log_b(𝑥) = 𝐿.

10³ = 1000

• log₁₀ 3 = 1000

• log₁₀ 1000 = 3

• log ₃ 10 = 1000

• log ₃ 1000 = 10

Rewrite each of the following in the form 𝒃^L = 𝒙.

log₅ 625 = 4

• 5⁴ = 625

• 5⁶²⁵ = 4

• 4 ⁶²⁵ = 5

• 4⁵ = 625

Rewrite each of the following in the form 𝒃^L = 𝒙.

log₂₇ 9 = 2/3

• ₂₇^2/3 = 9

• 27⁹ = 2/3

• 9^2/3 = 27

• 9²⁷ = 2/3

Consider the logarithms base 𝟐. For the logarithmic expression below, either calculate the value of the expression or state the expression does not make sense.

log₂ 128

• 7

• 64

• 256

• Does not make sense

Consider the logarithms base 3. For the logarithmic expression below, either calculate the value of the expression or state the expression does not make sense.

log₃ 0

• 0

• 1

• 3

• Does not make sense

Consider the logarithms base 5. For the logarithmic expression below, either calculate the value of the expression or state the expression does not make sense.

log₅ (1/25)

• -2

• 2

• 5

• Does not make sense