Properties of Logarithms

Write log_b(xy) as two logs

• log_bx+log_by

• log_bx-log_by

• log_bx*log_by

• log_bx/log_by

Write log_b(x/y) as two logs

• log_bx-log_by

• log_bx+log_by

• log_bx*log_by

• log_bx/log_by

Evaluate log₉(9)

• -1

• 1

• 0

• 9

Rewrite 3⁴ = 81 in logarithmic form.

• log₃4 = 81

• log₈₁3 = 4

• log₃81 = 4

• log₄81 = 3

Simplify log₄4^3x

• 3x

• 3

• 4

• 4^3x

Condense

• A

• B

• C

• D

Condense

• A

• B

• C

• D

Expand

• A

• B

• C

• D

Expand

• A

• B

• C

• D

• A

• B

• C

• D