Log Properties

Logarithmic functions are the inverse of...

• Linear Functions
• Exponential Functions 
• Quadratic Functions 
• Polynomial Functions 

Tags

CCSS.HSF.BF.B.5

Write the following equation in exponential form:
log₂32 = 5

• 2⁵ = 32
• 2³² = 5
• 5² = 32
• 32² = 5

Tags

CCSS.HSF.BF.B.5

Write the following equation in logarithmic form:
e³ ≈ 20.09

• ln3 ≈ 20.09
• ln20.09 ≈ 3
• lne ≈ 3
• ln20.09 ≈ e

Condense:
 log4- logx- log5+log3

• log(20/3x)
• log(12x/5)
• log(12/5x)
• log(5x/12)

Condense.

• log₂x²y¹⁰
• log₂x²+log₂y¹⁰
• log₂x²/y¹⁰
• log₂10xy

When a logarithm has division inside of the argument, it expands using ________________.

• Addition
• Subtraction
• Multiplication
• Division

Condense

• A
• B
• C
• D

• A
• B
• C
• D

Expand.

• A
• B
• C
• D

Rewrite log₃t = 5 in exponential form.

• 5^t=3
• log₃5 = log₃t
• t⁵=3
• 3⁵=t

Tags

CCSS.HSF.BF.B.5