Finding Logarithms

• It is a variable

• It is a number equal to 2.7...

• Product property

• Quotient property
  

• Power property

• Change of Base Property

Change to Exponential Form:
log₆36 = 2

• 2⁶=36

• 6²=36

• 36²=6

• 36⁶=2

Write log_b(xy) as two logs

• log_bx+log_by

• log_bx-log_by

• log_bx*log_by

• log_bx/log_by

Condense

• logxyz³

• log(xy/z³)

• logx+logy+logz³

• logx³y³z³

Condense

• log₈(a¹⁸/b³)

• log₈(a¹⁸b³)

• log₈(a/b³)

• 15log₈(a/b³)

Expand

• A

• B

• C

• D

Expand the following logarithm: 
log₂ 5x.

• log₂ 5 - log₂ x 

• log₂ 5 + log₂ x 

• 2log 5 + 2log x

• log5 2 + log_x 2