Properties of Logarithmic Functions

log (4x) (a)  

• log (4)-log (x)

• log (4)+ log (x)

• 4 log (x)

• x log (4)

log (xy²) (a)  

• log (x)+2 log (y)

• log (x)+log (y²)

• log (x) - 2 log (y)

• log (x) + log (y) + log (2)

• log (x) + log (y)

• x log (y)

• log (x-y)

• log (x) - log (y)

Mathematical Equivalence

ON

Mathematical Equivalence

ON

Condense: log (16) + log (2) - log (8) (a)  

• log (4)

• log (8)

• log (10)

• log (24)

Write as a single log: log 12 + 2 log x ​ (a)  

• log(24x)

• log 2 + 5log x

• 5log 2 + 5log x

• 5log 2 + log x

• log 10 + log x

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