Logarithmic properties

Write log_b(xy) as two logs

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

Tags

CCSS.HSF.BF.B.5

CCSS.HSF.LE.A.4

Evaluate log_b(b)

• -1
• 0
• 1
• b

Tags

CCSS.HSF.BF.B.5

CCSS.HSF.LE.A.4

Condense

• A
• B
• C
• D

Tags

CCSS.HSA.SSE.B.3

CCSS.HSF.BF.B.5

CCSS.HSF.LE.A.4

• A
• B
• C
• D

Tags

CCSS.HSF.BF.B.5

Write the expression as a single logarithm.   Then simplify if possible.
log₅3 + log₅6 + log₅9

• log₅69
• log₅56
• log₅162
• log₅98

Condense to a single logarithm: $\log_43+\log_45$  

•  $\log_4\ \frac{3}{5}$  

•  $\log_415$  

•  $\log_4\frac{3}{2}$  

•  $\log_4\ \frac{5}{3}$  

Use multiple log properties to write as a sum or difference of two logs: log(4x³) 

• log 4 + 3log x
• 3log 4 + 3log x
• 3log 4 + log x
• log 12 + log x

Tags

CCSS.HSA.SSE.B.3

Use multiple log properties to write as a single log:
log₂x -  5log₂y

• log₂(x/y⁵)
• log₂(xy⁵)
• log₂(x/y)⁵
• log₂(x/5y)

Tags

CCSS.HSA.SSE.B.3

Rewrite in Exponential Form

• A

• B

• C

• D

Tags

CCSS.HSF.BF.B.5

Rewrite in Logarithmic Form

• A

• B

• C

• D

Tags

CCSS.HSF.BF.B.5