5:6 - Calculating and Converting Basic Logs

Logarithmic functions are the inverse of...

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

Tags

CCSS.HSF.BF.B.5

CCSS.HSF.LE.A.4

Evaluate

 $\log_5\left(25\right)$  

• 2

• 5

• 125

• 10

Tags

CCSS.HSF.BF.B.5

CCSS.HSF.LE.A.4

Evaluate to the nearest tenth

 $\log\left(8\right)$ 

• 0.9

• 1.1

• 2.4

• 5.3

Tags

CCSS.HSF.BF.B.5

Evaluate to the nearest hundredth

 $\ln\ \left(12\right)$  

• 1.24

• 2.48

• 3.25

• 6.72

Tags

CCSS.HSF.BF.B.5

CCSS.HSF.LE.A.4

Evaluate:
 $\log_381$ 

• 4

• 9

• 27

• 32

Tags

CCSS.HSF.BF.B.5

CCSS.HSF.LE.A.4

When the base of a logarithm is not shown, the base when converting to an exponential would be
Example:

 $\log\left(5\right)\ =\ x$  

• 10

• 0

• e

• 1

Tags

CCSS.HSF.BF.B.5

CCSS.HSF.LE.A.4

When a Natural Log converts to an exponential, the base is:

 $\ln\left(3\right)\ =\ x$  

• 10

• 0

• e

• 1

Tags

CCSS.HSF.BF.B.5

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

Convert 

 $\log(x)=y$  

• $10^y=x$

• $10^x=y$

• $x^{10}=y$

• $y^{10}=x$

Tags

CCSS.HSF.BF.B.5