Quotient Property of Logarithms

• log_bx-log_by
• log_bx+log_by
• log_bx*log_by

Condense the logarithm:
 $3\log_2a-4\log_2b$  

•  $\frac{\log_2a^3}{\log_2b^4}$  

•  $\log_2\ \frac{a^3}{b^4}$  

•  $-1\log_2\ \frac{a}{b}$  

•  $\log_2a^3b^4$  

Rewrite as a single log:
4 log g - 2 log h

• log (4g/2h)
• log (g⁴/h²)
• log (g⁴ - h²)
• log (2gh)

Condense: log₂6-log₂3=

• log₂18

• log₂2 = 1

• log₂3

• log₂9

• log(25)

• log(20)

• log(5)

• log(64)

• log(.25)

Write as one logarithm. Simplify, if possible.
log₂800 - log₂100

• 8
• 3
• -3
• 1

Write as one logarithm. Simplify, if possible.
log₅125 - log₅25

• 1
• 0
• 5
• -1

 $\log_224-\log_36$  Condense the following expression into a single logarithm:

•  $\log_34$  

•  $\log_318$  

•  $\log_330$  

•  $\log_3144$  

Which expression is equivalent to  $\log_2\left(\frac{m^4}{n^7}\right)$  

•  $4\log_2m+7\log_2m$  

•  $7\log_2m+4\log_2m$  

•  $4\log_2m-7\log_2m$  

•  $7\log_2m-4\log_2m$  

Tags

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

CCSS.HSF.BF.B.5