Intro to Logs

The common logarithm has what base?

• 10
• 0
• e
• -e

Tags

CCSS.HSF.BF.B.5

Why were logs created/invented?

• To study growth

• To represent very large numbers

• To represent very small numbers

• Simplify complex mathematical scales

What is the BASE of the log function?  $\log_xy=p$  

• y

• p

• x

• Don't know

Tags

CCSS.HSF.BF.B.5

Rewrite to exponential form: $\log_3y=4$  

•  $4^y=3$  

•  $4^3=y$  

•  $3^4=y$  

•  $y^4=3$  

Rewrite to exponential form: $\log_xy=21$  

•  $y^{21}=x$  

•  $21^x=y$  

•  $x^{21}=y$  

•  $y^{21}=x$  

Rewrite to log form:  $3^2=9$  

•  $\log_39=2$  

•  $\log_92=3$  

•  $\log_29=3$  

•  $\log_32=9$  

Rewrite to exponential form:  $\log_381=4$  

•  $81^3=4$  

•  $4^3=81$  

•  $3^4=81$  

•  $3^{81}=4$  

Evaluate

• 2

• -2

• -1/2

• 1/2

Evaluate

• 1/2

• √2

• 2

• -2

Evaluate

• -4

• -8

• 1/4

• 1/8