Logarithms and Logarithmic Functions

What is exponential form?

•  $b^y=x$  

•  $\log_xy=b$  

•  $by=x$  

•  $\log_xb=y$  

What is log form?

• $b^y=x$

• $\log by\ =\ x$

• $\log_bx\ =\ y$

• $b\log x\ =\ y$

 $4^2=16\$ 
Write this equation in log form.

•  $\log_416\ =\ 2$  

•  $\log_216\ =\ 4$  

•  $\log_42\ =16$  

•  $\log_{16}4\ =\ 2$  

 $\log_3243\ =\ 5$  

Write this equation in exponential form.

•  $\log_53\ =\ 243$  

•  $243^{3\ }=\ 5$  

•  $5^3\ =\ 243$  

•  $3^5\ =\ 243$  

What is the base of log?

• 1

• 10

• 100

• 0

What is another term for log?

• natural log

• common log

• log base 1

• log base e

What does lnx represent?

•  $\log_{10}x$  

•  $\log_1x$  

•  $\log_ex$  

• line of x

What is the term for ln?

• natural log

• log neutral

• neutral log

• common log

 $Evaluate\ \log_39.$  

• 3

• 2

•  $\frac{1}{2}$  

•  $\frac{1}{3}$  

 $Evaluate\ \log_5\left(\frac{1}{125}\right).$  

• -25

• 25

•  $\frac{1}{3}$  

• -3