Logarithmic Functions Intro

Rewrite log₂8 = 3 in exponential form.

• 2⁸ = 3
• 2³ = 8
• 3² = 8
• 8³ = 2

Tags

CCSS.HSF.BF.B.5

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

log₅25 = ?

• 2
• 5
• 125
• 10

Logarithmic functions are the inverse of...

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

Tags

CCSS.HSF-BF.B.4A

The common logarithm has what base?

• 10
• 0
• e
• -e

What is the base of natural logarithms?

• 10

• 0

• e

• -e

Tags

CCSS.HSF.BF.B.5

Logarithmic functions have...

• Vertical asymptote at x=0

• Vertical asymptote at x=1

• Horizontal asymptote at y=1

• Horizontal asymptote at y=0

Tags

CCSS.HSF-IF.C.7E

What value never changes in the logarithmic functions?

• Vertical asymptote

• Horizontal asymptote

• Domain

• Range

Tags

CCSS.HSF-IF.C.7E

Write in logarithmic form.
5² = 25

• log₅2 = 25
• log₂25 = 5
• log₂₅5 = 2
• log₅25 = 2

Tags

CCSS.HSF.BF.B.5

Use the Change-of-Base formula to write the log as base 10.

 $\log_48$  

•  $\log\left(\frac{4}{8}\right)$  

•  $\frac{\log\left(8\right)}{\log\left(4\right)}$  

•  $\log\left(\frac{8}{4}\right)$  

•  $\frac{\log\left(4\right)}{\log\left(8\right)}$