Logarithms Algebra 2

Expand the logarithm.

• A

• B

• C

• D

Condense into a single logarithm.

• A

• B

• C

• D

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

Rewrite the equation in logarithmic form.

• A

• B

• C

• D

Expand

• log₈ x + log₈ y + log₈ z

• 5log₈ x + 5log₈ y + 5log₈ z

• log₈ xy + 5log₈ z

• log₈ x + log₈ y + 5log₈ z

log₂(x + 5) = 3

• 3

• 4

• 5

• 6

log₈(4x+4)=2

• 15

• 12

• 10

• 3

Rewrite log_b(xⁿ)

• nlog_bx

• (log_bx)ⁿ

• xⁿlog_bx

• log_b(xⁿ)

Use the properties of logarithms to rewrite as the sum of two logarithms: \log55

• log 40 + log 15

• log 50 + log 5

• log 11 + log 5