Introduction to Logarithms

Rewrite the following equation in exponential form:
 $\log_636=2$  

•  $36^2=6$  

•  $2^6=36$  

•  $6^2=36$  

•  $2^{36}=6$  

Tags

CCSS.HSF.BF.B.5

Rewrite the equation in exponential form:
 $\log_vu=4$  

•  $v^4=u$  

•  $4^v=u$  

•  $v^u=4$  

•  $u^4=v$  

Tags

CCSS.HSF.BF.B.5

Rewrite the equation in exponential form:
 $\log_{289}17=\frac{1}{2}$  

•  $17^{\frac{1}{2}}=289$  

•  $\frac{1}{2}^{17}=289$  

•  $289^{17}=\frac{1}{2}$  

•  $289^{\frac{1}{2}}=17$  

Tags

CCSS.HSF.BF.B.5

Rewrite the equation in logarithmic form:
 $9^{-2}=\frac{1}{81}$  

•  $\log_29=\frac{1}{81}$  

•  $\log_9\ \left(-2\right)=\frac{1}{81}$  

•  $\log_2\ \left(\frac{1}{81}\right)=9$  

•  $\log_9\ \frac{1}{81}=-2$  

Tags

CCSS.HSF.BF.B.5

CCSS.HSF.LE.A.4

Rewrite the equation in logarithmic form:
 $8^b=a$  

•  $\log_a8=b$  

•  $\log_8a=b$  

•  $\log_ba=8$  

•  $\log_8b=a$  

Tags

CCSS.HSF.BF.B.5

CCSS.HSF.LE.A.4

Evaluate the following expression:  $\log_464$  

• 3

• 16

• 8

• 2

Evaluate the following expression:
 $\log_{343}7$  

• 3

•  $\frac{1}{3}$  

•  $\frac{1}{7}$  

• 7

log₅25 = ?

• 2
• 5
• 125

Tags

CCSS.HSF.BF.B.5

Rewrite in exponential form: 
2=log₉x

• 9^x=2
• 2^x=9
• 2⁹=x
• 9²=x

Solve for x.
5^x = 1

• 0
• -1
• 2
• 1