Logarithms Exponents Review

Write the expression as a single logarithm. Then simplify if possible.

log₅3 + log₅6 + log₅9

• log₅69

• log₅56

• log₅162

• log₅98

Expand \log_8\left(x\cdot y\cdot z^5\right)

• log₈ x + log₈ y + log₈ z

• 5log₈ x + 5log₈ y + 5log₈ z

• log₈ xy + 5log₈ z

• log₈ x + log₈ y + 5log₈ z

Describe domain of the function shown: y=log₂(x+1)

• (-∞,∞)

• (-1,∞)

• (-1,3)

• (∞, -1)

Write the logarithm expression as a single logarithm

2log 4 + log 2

• log 8

• log 16

• log 32

• log 8²

Write as a single logarithm. Then simplify the logarithm if possible.

log₃9 + log₃27

• -1

• 5

• 4

• 1

log₂800 - log₂100

• 8

• 3

• -3

• 1

Evaluate the logarithm.

3 log₂4

• 3

• 6

• 2

• 4

Identify the initial value:

y = 6.87 (4)^x

• a = 4

• a = 6.87

• a = 3

• a = 1

Classify the following graph.

• Exponential Growth

• Exponential Decay

• Logarithmic