Logarithms: Properties of & Applied

Write $\log\left(xy\right)$ as two logs

• $\ \log x\ +\ \log\ y$

• $\log x\ -\ \log\ y$

• $\log x\ \times\log y$

• $\frac{\log x}{\log y\ }$

Rewrite $\log_{b\ }x^n$  

•  $n\log_bx$  

•  $\left(\log_bx\right)n$  

•   $x^n\log_bx$  

•  $\log_b\left(xn\right)$  

Write the expression as a single logarithm.   Then simplify if possible.
log₅3 + log₅6 + log₅9

• log₅69
• log₅56
• log₅162
• log₅98

Tags

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

CCSS.HSF.BF.B.5

Write the expression as a single logarithm. Then simplify if possible.
 $\log6\ -\ \log\ 3\ +\ 2\log\ 7$  

•   $\log\ 98$  

•  $\log78$  

•   $\log56$  

•   $\log45$  

Evaluate the following logarithm:
 $\log_327$  

• 3

• 2

• -3

•  $\frac{1}{3}$  

Evaluate the following logarithm:
 $\log_55$  

• 1

• 0

• -1

• ¹/₂

Tags

CCSS.HSF.BF.B.5

Evaluate the following logarithm:
 $\log_416$  

• 1

• -2

• 2

• ¹/₂

Tags

CCSS.HSF.BF.B.5

Evaluate the following logarithm: 
 $\log_42$  

• -¹/₂

• -2

• 2

• ¹/₂

 $\log_8\sqrt{8}$  Evaluate the following logarithm:

log8√8

• -¹/₂

• -1

• 1

• ¹/₂

Evaluate the following logarithm:
 $\log_{25\ }0.2$  

• -¹/₂

• -2

• 2

• ¹/₂