Logarithms and Properties

A logarithm is the inverse function of

• a quadratic.

• an exponential.

• a linear function.

• a cubic.

Tags

CCSS.HSF.BF.B.5

A logarithm is always represents

• an exponent.

• a base.

• an answer.

• a unicorn.

Tags

CCSS.HSF.BF.B.5

 $\log_8\left(2\right)=\frac{1}{3}$  In the expression, 8 is the

• base.

• exponent.

• argument.

• answer.

Tags

CCSS.HSF.BF.B.5

Choose the graph that represents a logarithmic function.

• 
• 
• 
• 

Tags

CCSS.HSF-IF.C.7E

Rewrite the equation in exponential form.
 $\log_8\left(512\right)=3$  

•  $8^{512}=3$  

•  $3^8=512$  

•  $8^3=512$  

•  $3^{512}=8$  

Tags

CCSS.HSF.BF.B.5

Rewrite the equation in logarithmic form.
 $5^{-4}=\frac{1}{625}$  

•  $\log_5\left(-4\right)=\frac{1}{625}$  

•  $\log_5\left(\frac{1}{625}\right)=-4$  

•  $\log_{-4}\left(\frac{1}{625}\right)=5$  

•  $\log_{\frac{1}{625}}\left(5\right)=-4$  

Tags

CCSS.HSF.BF.B.5

Rewrite the equation in exponential form.
 $\log_{12}\left(w\right)=p$  

•  $12^w=p$  

•  $12^p=w$  

•  $w^p=12$  

•  $p^w=12$  

Tags

CCSS.HSF.BF.B.5

Rewrite the equation in logarithmic form.
 $a^{\frac{2}{3}}=b$  

•  $\log_a\left(\frac{2}{3}\right)=b$  

•  $\log_a\left(b\right)=\frac{2}{3}$  

•  $\log_{\frac{2}{3}}\left(b\right)=a$  

•  $\log_b\left(a\right)=\frac{2}{3}$  

Tags

CCSS.HSF.BF.B.5

Evaluate the expression.
 $\log_3\left(81\right)$  

• 4

• 27

• 78

• 5

Tags

CCSS.HSF.BF.B.5

Evaluate the expression.
 $\log_4\left(\frac{1}{64}\right)$  

• 3

•  $-3$  

•  $\frac{1}{3}$  

• 16

Tags

CCSS.HSF.BF.B.5