2/23 - Logarithms Quiz Review

True or False:

Logarithms and Exponents are NOT related to each other.

• True

• False

Tags

CCSS.HSF.BF.B.5

Which is the correct representation of the given logarithm in exponential form?

 $\log_5\ x=3$  

•  $x^3=5$  

•  $3^5=x$  

•  $5^3=x$  

•  $5^x=3$  

Tags

CCSS.HSF.BF.B.5

Which is the correct logarithmic representation of the given exponential expression?

 $5^x=625$  

•  $\log_x\ 5=625$  

•  $\log_5\ 625=x$  

•  $\log_{625}\ 5=x$  

•  $\log_x\ 625=5$  

Tags

CCSS.HSF.BF.B.5

Evaluate the following logarithm:

 $\log_3\ 81$  

• 4

• 27

•  $\frac{1}{27}$  

•  $\frac{1}{4}$  

Evaluate the following logarithm:

 $\log_{25}\ 125$  

• 5

•  $\frac{2}{3}$  

•  $\frac{3}{2}$  

• 100

Which is correct expanded form of the given logarithm?

 $\log_4\ 5x^2$  

•  $2\ \log_4\ 5+\log_4\ x$  

•  $\log_4\ 5+x^2$  

•  $\log_4\ 5+\log_4\ x^2$  

•  $\log_4\ 5+2\ \log_4\ x$  

Which is correct form of the logarithmic expression written as a single logarithm?

 $\log\ \frac{7}{m^3}$  

•  $\log\ 7-\log\ m^3$  

•  $\log\ 7+3\ \log\ m$  

•  $\log\ 7-3\ \log\ m$  

•  $3\ \log\ 7-\log\ m$  

The following is called a "common logarithm" and appears to not have a base. What do we know the base is in a logarithm like this?

 $\log\ 100=2$  

• 10

• 2

• 100

• 1