Evaluate logs using properties

The common logarithm has what base?

• 10

• 0

• e

• -e

Rewrite @^% = # in logarithmic form.

• log_@% = #

• log_#@ = %

• log_@# = %

• log_%# = @

Expand:  $\log_4\left(3x^2\right)$  

•  $2\log_43x$  

•  $2\log_43\ +\ 2\log_4x$  

•  $\log_43\ +\ 2\log_4x$  
  

•  $2\log_43\ +\ \log_4x$  

Logarithmic functions are the inverse of...

• Linear Functions

• Exponential Functions 

• Quadratic Functions 

• Polynomial Functions 

Use properties of Logs to write  $\log_3\left(8\right)+\log_3\left(3\right)-\log_3\left(2\right)$  

as one Log

•  $\log_3\left(12\right)\$ 

•  $\log_3\left(9\right)$ 

•  $\log_3\left(48\right)$ 

•  $\log_3\left(8\right)$ 

When you have two log expressions separated by a minus sign (-), we really need to ___________ them to simplify into one log expression.

• add

• subtract

• multiply

• divide

Write the expression as a single logarithm. Then simplify if possible.

log₅3 + log₅6 + log₅9

• log₅69

• log₅56

• log₅162

• log₅98

Evaluate log₅  20 to the third decimal place

• 0.537

• 2.996

• 1.301

• 1.861

log (200) + log (5)

• 3

• 5

• 20 log 10 +1/2

• 20 + log 5

log₂ 4 - log₂ 2

• 0

• 1

• 2

• none of these