Properties of Logarithms & Log Equations

• A

• B

• C

• D

Write as a single logarithm: log12 + 2logx

• log (12 + 2x)

• log (14x)

• log (24x)

• log (12x²)

The common logarithm has what base?

• 10
• 0
• e
• -e

Logarithmic functions are the inverse of...

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

Rewrite log_pt = m in exponential form.

• p^t = m
• t^m = p
• m^t = p
• p^m = t

Tags

CCSS.HSF.BF.B.5

Use the change of base property to rewrite as a single logarithm:

 $\frac{\log15}{\log3}$  

•  $\log\ \frac{1}{5}$  

•  $\log5$  

•  $\log_{15}3$  

•  $\log_315$  

True or False:

log 12 - log 4 = log 8

• True

• False

 $-2\log3=\log\frac{1}{9}$  

True or False:

• True

• False

Choose the correctly condensed logarithm

 $\frac{1}{2}\log_6a-\log_6b+\log_66$  

•  $\log_6\left(\frac{6\sqrt{a}}{b}\right)\$  

•  $\log_6\left(\frac{\sqrt{a}}{b}+1\right)\ \$  

•  $\log_6\left(\frac{\sqrt{a}}{b}\right)\ \ +1$  

•  $\log_6\left(\frac{\sqrt{a}}{b}\right)\ \ +6$  

Use the properties of logarithms to find the exact value of each expression.

 $\log_a1=$