The inverse of exponential functions (logarithms).

The inverse of exponential functions (logarithms).

Why logarithms?

Do we use logarithms in real life?

Where does the log come from?

How should I think of lagarithms?

Multiple Choice

 $2^5=32$  Which part is the base?

• 2

• 5

• 32

Multiple Choice

 $2^5=32$  Which part is the exponent?

• 2

• 5

• 32

Multiple Choice

 $2^5=32$  Which part is the solution (answer)?

• 2

• 5

• 32

Multiple Choice

 $2^5=32$  What is the logarithmic form?  $\log_{base}\left(answer\right)=\exp onent$  

•  $\log_52=32$  

•  $\log_{32}5=2$  

•  $\log_232=5$  
  

Multiple Select

 $8^2=64$  Can be written in logarithmic form as...

•  $\log_28=64$  

•  $\log_864=2$  

•  $\log_82=64$  

Fill in the Blank

 $4^3=64$  

Write the exponential equation in logarithmic form.

 $\log_4\left(\ \ ?\ \ \right)=3$  

Fill in the Blank

 $7^3=343$  

Write the exponential equation in logarithmic form.

 $\log_7\left(\ \ \ \ ?\ \ \ \ \ \right)=3$  

Fill in the Blank

 $10^3=1000$  

Write the exponential equation in logarithmic form.

 $\log_{10}1000=\left(\ \ \ \ ?\ \ \ \ \right)$  

Fill in the Blank

 $5^4=625$  

Write the exponential equation in logarithmic form.

 $\log_5625=\left(\ \ \ ?\ \ \ \right)$  

Open Ended

 $2^7=128$   $\log_2128=7$  

How are exponential equations the same as logarithmic equations? How are they different?