Properties of Logs

Expand: log(4x)

• log4-logx

• log4+logx

• 4logx

• xlog4

Expand: log(xy²)

• logx+2logy

• logx+logy²

• logx-2logy

• logx+logy+log2

Expand:  $\log\left(\frac{x}{y}\right)$  

• logx+logy

• xlogy

• log(x-y)

• logx-logy

• log (xy³)
• log (x⁶ − y³)
• log (x⁶/y³)
• log (x⁶ + y³)

Tags

CCSS.HSF.BF.B.5

CCSS.HSA.SSE.B.3

CCSS.HSF.IF.C.8

• ln(wvu⁵)

• ln(u + v + w⁵)

• ln(uvw⁵)

• ln(uvw)⁵

Logarithmic functions are the inverse of...

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

Tags

CCSS.HSF.BF.B.5

Change to Exponential Form:
log₆36 = 2

• 2⁶=36
• 6²=36
• 36²=6
• 36⁶=2

Tags

CCSS.HSF.BF.B.5

Evaluate log₄1

• 1
• 0
• 4
• undefined

Tags

CCSS.HSF.BF.B.5

Evaluate log₈ 8

• 8
• -1
• 0
• 1

Tags

CCSS.HSF.BF.B.5

Evaluate:
log₄16

• 2
• 4
• 1/2
• -2

Tags

CCSS.HSF.BF.B.5