All things Log Practice

log(4x)

• log4-logx

• log4+logx

• 4logx

• xlog4

Use multiple log properties to write as a single log:
log₂x -  5log₂y

• log₂(x/y⁵)
• log₂(xy⁵)
• log₂(x/y)⁵
• log₂(x/5y)

Logarithmic functions are the inverse of...

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

Change to Exponential Form:
log₆36 = 2

• 2⁶=36
• 6²=36
• 36²=6
• 36⁶=2

Rewrite log_pt = m in exponential form.

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

log₅25 = ?

• 2
• 5
• 125
• 10

Match the graph with its equation

• y = log₆(-x) + 1
• y = log₆(x − 2) + 1
• y = log₆(x + 2) - 1
• y = log(x-8) + 1

Match the graph with its equation

• y = log₅ (x + 1) + 1 
• y = log₅ (x - 1) + 1 
• y = log₅ (x²) + 1 
• y = log₅ (x)-1

Find the corresponding graph of
 $-\log_4\left(x+1\right)+2$  

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• Left 1

  Up 2

  Reflected over x-axis

• Right 1

  Down 2

  Reflected over x-axis

• Left 1

  Down 2

  Reflected over y-axis

• Right 1

  Up 2

  Reflected over y-axis