Intro to Logs Practice

Logarithmic functions are the inverse of...

• Linear Functions
• Exponential Functions 
• Quadratic Functions 
• Polynomial Functions 

Tags

CCSS.HSF.BF.B.5

CCSS.HSF.LE.A.4

The common logarithm (log) has what base?

• 10

• 0

• e

• -e

The natural logarithm (ln) has what base?

• 0

• 10

• e

• -e

Tags

CCSS.HSF.LE.A.4

Rewrite to exponential form: $\log_3y=4$  

•  $4^y=3$  

•  $4^3=y$  

•  $3^4=y$  

•  $y^4=3$  

Tags

CCSS.HSF.BF.B.5

Rewrite to log form: $4^3=64$  

•  $\log_364=4$  

•  $\log_464=3$  

•  $\log_34=64$  

•  $\log_43=64$  

Tags

CCSS.HSF.BF.B.5

CCSS.HSF.LE.A.4

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:  $\log_381=4$  

•  $81^3=4$  

•  $4^3=81$  

•  $3^4=81$  

•  $3^{81}=4$  

Rewrite in log form: $y^7=11$  

•  $\log_7y=11$  

•  $\log_7y=11$  

•  $\log_{11}y=7$  

•  $\log_y11=7$  

 $\log_3\left(\frac{1}{81}\right)=-4$  Rewrite to exponential form.

•  $3^{-4}=\frac{1}{81}$  

•  $3^{\frac{1}{4}}=81$  

•  $4^3=\frac{1}{81}$  

•  $3^{\frac{1}{81}}=4$