Logarithmic Functions

 Rewrite as an exponential equation.

 $\log_381=4$  

•  $3^4=81$  

•  $81^4=3$  

•  $4^3=81$  

•  $81^3=4$  

Tags

CCSS.HSF.BF.B.5

Rewrite as a logarithmic equation.

 $2^3=8$  

•  $\log_28=3$  

•  $\log_82=3$  

•  $\log_23=8$  

•  $\log_83=2$  

Tags

CCSS.HSF.BF.B.5

Rewrite as a logarithmic equation.

 $6^{\left(-2\right)}=\frac{1}{36}$  

•  $\log_6\left(-2\right)=\frac{1}{36}$  

•  $\log_6\left(\frac{1}{36}\right)=-2$  

•  $\log_{\left(\frac{1}{36}\right)}6=-2$  

•  $\log_{\left(\frac{1}{36}\right)}\left(-2\right)=6$  

Tags

CCSS.HSF.BF.B.5

Evaluate the logarithmic expression.

 $\log_66$  

• 0

• 1

• 6

• 10

Evaluate the logarithmic expression.

 $\log_41$  

• 0

• 1

• 4

• 16

Evaluate the logarithmic expression.

 $\log_4\left(\frac{1}{64}\right)$  

• -3

• -2

• -1

• 1

Evaluate the Logarithmic expression.

 $\log_381$  

• 2

• 3

• 4

• 5

Tags

CCSS.HSF.BF.B.5

Evaluate the logarithmic expression.

 $\log_7\left(\frac{1}{49}\right)$  

• 2

• 1

• -1

• -2

State the transformation from the parent function:

 $y=\log_2\left(x-4\right)+1$  

• Right 4, Up 1

• Right 4, Down 1

• Left 4, Down 1

• Left 4, Up 1

State the transformation from the parent function:

 $y=\log_3\left(x+1\right)-4$  

• Right 1, Down 4

• Right 1, Up 4

• Left 1, Down 4

• Left 1, Up 4