Log Properties

Use properties of Logs to write  $\log_3\left(8\right)+\log_3\left(3\right)-\log_3\left(2\right)$  

as one Log

•  $\log_3\left(12\right)\$ 

•  $\log_3\left(9\right)$ 

•  $\log_3\left(48\right)$ 

•  $\log_3\left(8\right)$ 

Use properties of Logs to write  $2\log_3\left(x\right)+\log_3\left(y\right)$  

as one Log

•  $\log_3\left(2xy\right)\$ 

•  $\log_3\left(x^2y\right)$ 

•  $\log_3\left(xy\right)^2$ 

•  $2\log_3\left(xy\right)$ 

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

Tags

CCSS.HSF.BF.B.5

Solve for n:
2³ⁿ = 4

• 2
• 3
• 2/3
• 4

Tags

CCSS.HSF.LE.A.4

Evaluate log₄1

• 1
• 0
• 4
• undefined