Evaluate Logarithms and Graph Logarithmic Functions

• stretched by factor of 2, right 1

• stretched by factor of 2, down 1

• Compressed by factor of 2, up 1

• Compressed by factor of 2, down 1

Use the properties of logarithms to expand the expression as a sum, difference, and/or constant multiple of logarithms. (Assume all variables are positive.)

• 12
• 3
• 5
• 10

Logarithms are represented by log and its equation is written as

• y = log x

• y = log_xb

• y = log_bx

• y = log b

log₂16=

• 2

• 16

• 8

• 4

Write the following equation in logarithmic form:
2³ = 8

• log₂8 = 3

• log₂3 = 8

• log₃2 = 8

• log₃8 = 2

Write the following equation in logarithmic form:
e³ ≈ 20.09

• ln3 ≈ 20.09

• ln20.09 ≈ 3

• lne ≈ 3

• ln20.09 ≈ e

Evaluate the following logarithm by converting to exponential form.
log_⅕125 = x

• x = 3

• x = -3

• x = 25

• x = 5

Evaluate the following logarithm by converting to exponential form.
log₉3 = x

• x = 2

• x = ½

• x = -2

• x = -½

Write the following equation in exponential form:
log₂⅛ = -3

• 2^⅛ = -3

• (⅛)^-3 = 2

• 2^-3 = ⅛

• (-3)^⅛ = 2