Understanding exponential and logarithmic functions

• Power Property

• Product Property

• Definition-Based Property

• Quotient Property

Evaluate the logarithm.
 $\log_5\left(\frac{1}{625}\right)$  

• 4

• 1/4

• -4

• -1/4

Condense each Log

• A
• B
• C
• D

Expand log_b(xy).

(Rewrite it as two logs)

Mathematical Equivalence

ON

Expand log(x²/y³).  Choose the best answer.

• log x²+log y³
• 2 log x + 3 log y
• log x + log y
• 2log x² +3 logy³

Mathematical Equivalence

ON

Write the logarithm expression as a single logarithm

log₅4 + log₅3

• log₅7

• log₅12

• log₇5

• 3log₅4

Condense. 

• A
• B
• C
• D

 $\log_35x$  
Expand

•  $\log_35+\log x$  

•  $\log_53+\log x$  

•  $\log5x\ +3$  

•  $\log5x+\log3$