Properties of Logarithms

Evaluate.
log₃81

• 4
• ¹/₄
• -4
• -¹/₄

Tags

CCSS.HSF.BF.B.5

Rewrite the equation into logarithmic form:
6² = 36

• log₆ 2 = 36
• log₆ 36 = 2
• ln 36 = 2
• 6³⁶ = 2

Tags

CCSS.HSF.BF.B.5

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.IF.C.8

Evaluate log₉(9)

• -1
• 1
• 0
• 9

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

• A
• B
• C
• D

Tags

CCSS.HSF.BF.B.5

CCSS.HSF.LE.A.4

Solve for x:

log₄ x = 3

Hint **Change it to an exponential first**

• 4

• 12

• 32

• 64

Rewrite 3⁴ = 81 in logarithmic form.

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

Tags

CCSS.HSF.BF.B.5

Write in exponential form.
log₂32 = 5

• 2^-5 = 32
• 2³² = 5
• 2⁵ = 32
• 32⁵ = 2

Tags

CCSS.HSF.BF.B.5

Expand: $\log_6\left(\frac{5}{4y}\right)$  

•  $\log_65\ +\ \log_64\ +\ \log_6y$  

•  $\log_65\ -\ \log_64\ +\ \log_6y$  

•  $\log_65\ -\ \log_64\ -\ \log_6y$  

•  $\log_65\ -\ \log_64y$  

Tags

CCSS.HSF.BF.B.5

CCSS.HSF.IF.C.8

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3