Log Properties

Logarithmic functions are the inverse of...

• Linear Functions

• Exponential Functions 

• Quadratic Functions 

• Polynomial Functions 

Tags

CCSS.HSF.BF.B.4

CCSS.HSF.BF.B.5

CCSS.HSF.LE.A.4

Write the following equation in exponential form:
log₂32 = 5

• 2⁵ = 32

• 2³² = 5

• 5² = 32

• 32² = 5

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

• Addition

• Subtraction

• Multiplication

• Division

Rewrite log₃t = 5 in exponential form.

• 5^t=3

• log₃5 = log₃t

• t⁵=3

• 3⁵=t

Write as a single log: log 12 + 2 log x

• log (12 + 2x)

• log (14x)

• log (12 * 2x)

• log (12x²)

Rewrite as a single log:
4 log g - 2 log h

• log (4g/2h)

• log (g⁴/h²)

• log (g⁴ - h²)

• log (2gh)

What is the base? log₇(x+3) = 4

• 7

• 3

• 4

• 10

Simplify the following logarithmic function:
log₂16=

• 2

• 16

• 8

• 4

Tags

CCSS.HSF.BF.B.5

CCSS.HSF.LE.A.4

Expand.

• log x + 5 log y

• 5 log x + 5 log y

• 5 log x - log y

• log x - 5 log y

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CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

CCSS.HSF.BF.B.5

Condense.

• log₂x²y¹⁰

• log₂x²+log₂y¹⁰

• log₂x²/y¹⁰

• log₂10xy

Tags

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

CCSS.HSF.BF.B.5

CCSS.HSF.IF.C.8