Log Properties Practice

Expand.

• 1/3 log x + log y + log z
• 1/3 log x + 1/3 log y + 1/3 log z
• 1/3 log x - 1/3 log y - 1/3 log z
• 3 log x + 3 log y + 3 log z

Tags

CCSS.HSF.BF.B.5

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

CCSS.HSF.IF.C.8

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

Condense:
 log4- logx- log5+log3

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

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

Tags

CCSS.HSF.BF.B.5

Rewrite 3⁴ = 81 in logarithmic form.

• log₃4 = 81
• log₈₁3 = 4
• log₃81 = 4
• log₄81 = 3

Tags

CCSS.HSF.BF.B.5

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)

Rewrite log_pt = m in exponential form.

• p^t = m
• t^m = p
• m^t = p
• p^m = t

Tags

CCSS.HSF.BF.B.5