Log and Exp Conversion

Converting Exponential to Logarithmic Equations

April 7/8

Poll

How are we feeling today?

Fill in the Blanks

What is the base of the following logarithmic function?

$\log_84=\frac{2}{3}$  

Fill in the Blanks

What is the y-value of the following logarithmic function?

$\log_84=\frac{2}{3}$  

Fill in the Blanks

What is the x-value of the following logarithmic function?

$\log_84=\frac{2}{3}$

Multiple Choice

What is the exponent form of the following logarithmic function? 

$$\log_84=\frac{2}{3}$$

• $$8^4=\frac{2}{3}$$  

• $$8^{\frac{2}{3}}=4$$  

• $$4^{\frac{2}{3}}=8$$  

• $$4^8=\frac{2}{3}$$  

Fill in the Blanks

$6^{-3}=\frac{1}{216}$  
What is the x-value of the exponent? 

Fill in the Blanks

$6^{-3}=\frac{1}{216}$  
What is the base of the exponent?

Fill in the Blanks

$6^{-3}=\frac{1}{216}$  
What is the y-value of the exponential function?

Multiple Choice

What is the logarithmic form of the exponential function?

$$6^{-3}=\frac{1}{216}$$  

• $$\log_{-3}6=\frac{1}{216}$$  

• $$\log_6\left(\frac{1}{216}\right)=-3$$  

• $$\log_6-3=\frac{1}{216}$$  

• $$\log_6\left(\frac{1}{216}\right)=3$$