Properties of Logs

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 3⁴ = 81 in logarithmic form.

• log₃4 = 81
• log₈₁3 = 4
• log₃81 = 4
• log₄81 = 3

Expand

• A
• B
• C
• D

• A
• B
• C
• D

• A
• B
• C
• D

Condense

• A
• B
• C
• D

Tags

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

Evaluate the following logarithm by converting to exponential form.
log₃⅓ = x

• x = -1
• x = 1
• x = 3
• x = ⅓

Tags

CCSS.HSF.BF.B.5

Evaluate the following logarithm by converting to exponential form.
log_⅕125 = x

• x = 3
• x = -3
• x = 25
• x = 5

Evaluate the following logarithm by converting to exponential form.
log₉3 = x

• x = 2
• x = ½
• x = -2
• x = -½

Write log_b(xy) as two logs

• log_bx+log_by
• log_bx-log_by
• log_bx*log_by
• log_bx/log_by