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 following equation in exponential form:
 $\log_381=4$  

•  $4^3=81$  

•  $3^4=81$  

•  $81^3=4$  

•  $4^{81}=3$  

Tags

CCSS.HSF.BF.B.5

CCSS.HSF.LE.A.4

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:
 $64^{\frac{1}{2}}=8$  

•  $\log_{64}8=\frac{1}{2}$  

•  $\log_864=\frac{1}{2}$  

•  $\log_{64}\ \frac{1}{2}=8$  

•  $\log_8\ \frac{1}{2}=64$  

Tags

CCSS.HSF.BF.B.5

CCSS.HSF.LE.A.4

Rewrite the equation in logarithmic form:
 $12^2=144$  

•  $\log_{12}2=144$  

•  $\log_2144=12$  

•  $\log_{12}144=2$  

•  $\log_{144}12=2$  

Tags

CCSS.HSF.BF.B.5

CCSS.HSF.LE.A.4

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

Any number written to the 0 power is always 1
Example: 8⁰=1

• True
• False

Find the inverse of y=9^x

• y=log_x9

• y=log₁₀9

• x=log_y9

• y=log₉x

Tags

CCSS.HSF.BF.B.4

CCSS.HSF.BF.B.5

CCSS.HSF.LE.A.4