Logarithms

Rewrite the logarithmic equation in exponential form:

 $\log_216=4$  

•  $4^2=16$  

•  $2^4=16$  

•  $16^2=4$  

•  $16^4=2$  

•  $2^{16}=4$  

Evaluate the logarithm. Use the change of base formula.

 $\log_312$  

• 4

• 0.6021

• 1.4006

• 2.2619

• 0.4421

Solve using the properties log₅x - log₅2 = log₅15

• 6

• 8

• 15

• 30

Tags

CCSS.HSA.REI.A.1

CCSS.HSF.BF.B.5

CCSS.HSF.LE.A.4

Solve using the properties.

log₂(4x) + log₂5 = log₂40

• 2

• 1

• 10

• 8

Tags

CCSS.HSA.REI.A.1

CCSS.HSF.BF.B.5

Expand the logarithm.

• A
• B
• C
• D

Tags

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

CCSS.HSF.BF.B.5

CCSS.HSF.IF.C.8

Condense into a single logarithm.

• A
• B
• C
• D

Tags

CCSS.HSA.SSE.B.3

CCSS.HSF.BF.B.5

CCSS.HSF.IF.C.8

CCSS.HSF.LE.A.4

log₂(x + 5) = 3

• 3
• 4
• 5
• 6

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.A.1

CCSS.HSF.BF.B.5

CCSS.HSF.LE.A.4

Solve the equations with logarithms on both sides.
 $\log_2\left(5x-7\right)=\log_2\left(x+7\right)$  

•  $x=3.5$  

•  $x=2.33$  

•  $x=16$  

•  $x=0$  

Tags

CCSS.HSF.LE.A.4

Logarithmic functions are the inverse of...

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

Solve the following equation for x:  $\log_5\left(x+13\right)=2$  

•  $x=12$  
  

•  $x=38$  

•  $x=19$  

•  $x=-3$