Logs and Exponential Functions

Solve

• A

• B

• C

• D

Classify the model as Exponential GROWTH or DECAY.
A=1200(.85)⁶

• Growth

• Decay

Write 2³= 8 in logarithmic form.

• log₂ 8 = 3

• log₂ 3 = 8

• log₃ 8 = 2

• log₃ 2 = 8

Write 10⁴= 10000 in logarithmic form.

• log₁₀ 4 = 10000

• log₁₀₀₀₀ 4 = 10

• log₁₀ 10000 = 4

• log₄ 10000 = 10

Write log₃ 81 = 4 in exponential form.

• 81⁴=3

• 81³=4

• 4³=81

• 3⁴=81

Write 5² = 25 in logarithmic form.

• log₂25 = 5

• log₅25 = 2

• log₂₅5=2

• log₁₀25=5

Write log₃(1/9) = -2 in exponential form.

• 3^-2 = (1/9)

• (1/9)^-2= 3

• (1/9)³= -2

• 2^(1/9)=3

Write log₆ 216 = 3 in exponential form.

• 3⁶=216

• 6³=216

• 216⁶=3

• 3²¹⁶=6

Evaluate log₇ 343

• 3

• 49

• 7

• 1

Evaluate log 0.001

• -2

• -3

• 1/3

• 10