Which is the product property of logarithms?

log ⁡ b ( x ⋅ y ) = log ⁡ b x + log ⁡ b y \log_b\left(x\cdot y\right)\ =\log_bx\ +\log_by lo g b ( x ⋅ y ) = lo g b x + lo g b y

log ⁡ b ( x y ) = log ⁡ b x − log ⁡ b y \log_b\left(\frac{x}{y}\right)\ =\ \log_bx\ -\ \log_by lo g b ( y x ) = lo g b x − lo g b y

log ⁡ b x n = n log ⁡ b x \log_bx^n=n\log_bx lo g b x n = n lo g b x

Which is the power property of logarithms?

log ⁡ b x n = n log ⁡ b x \log_b\ x^n\ =n\log_bx lo g b x n = n lo g b x

log ⁡ b ( x ⋅ y ) = log ⁡ b x + log ⁡ b y \log_b\left(x\cdot y\right)=\log_bx\ +\log_by lo g b ( x ⋅ y ) = lo g b x + lo g b y

log ⁡ b ( x y ) = log ⁡ b x − log ⁡ b y \log_b\left(\frac{x}{y}\right)\ =\ \log_bx\ -\log_by lo g b ( y x ) = lo g b x − lo g b y

What is the quotient property of logarithms?

log ⁡ b ( x y ) = log ⁡ b x − log ⁡ b y \log_b\left(\frac{x}{y}\right)=\log_bx\ -\log_by lo g b ( y x ) = lo g b x − lo g b y

log ⁡ b x n = n log ⁡ b x \log_bx^n=n\log_bx lo g b x n = n lo g b x

log ⁡ b ( x ⋅ y ) = log ⁡ b x + log ⁡ b y \log_b\ \left(x\cdot y\right)=\log_bx\ +\ \log_by lo g b ( x ⋅ y ) = lo g b x + lo g b y

log ⁡ ( 4 5 ) \log\left(\frac{4}{5}\right) lo g ( 5 4 ) Expand the Log

log ⁡ 4 − log ⁡ 5 \log4\ -\log5 lo g 4 − lo g 5

log ⁡ 4 + log ⁡ 5 \log4\ +\log5 lo g 4 + lo g 5

M4 Unit 3 Logs Review

Authored by Amanda Cook

Mathematics

11th - 12th Grade

CCSS covered

Used 88+ times

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MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Logarithmic functions are the inverse of...

Linear Functions

Exponential Functions

Quadratic Functions

Polynomial Functions

Tags

CCSS.HSF.BF.B.5

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

Condense: log16 + log2 - log8

log4

log8

log10

log24

Tags

CCSS.HSF.BF.B.5

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

$\log\left(\frac{m^3}{n}\right)$

logm-log3-logn

3logm+logn

3logm-logn

3log(m-n)

Tags

CCSS.HSF.BF.B.5

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

$\log\left(\frac{8x}{yz}\right)\$

log8+logx-logy-logz

log8+logx-logy+logz

log(8x)-log(yz)

8logx-ylogz

Tags

CCSS.HSF.BF.B.5

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

CCSS.HSF.IF.C.8

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

Change to Exponential Form:
log₆36 = 2

2⁶=36

6²=36

36²=6

36⁶=2

Tags

CCSS.HSF.BF.B.5

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Evaluate log₄1

undefined

Tags

CCSS.HSF.BF.B.5

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

When you have two log expressions separated by a minus sign (-), we really need to ___________ them to simplify into one log expression.

add

subtract

multiply

divide

Tags

CCSS.HSF.BF.B.5

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M4 Unit 3 Logs Review

Logarithmic functions are the inverse of...

Condense: log16 + log2 - log8

$\log\left(\frac{m^3}{n}\right)$

$\log\left(\frac{8x}{yz}\right)\$

Change to Exponential Form:
log₆36 = 2

Evaluate log₄1

When you have two log expressions separated by a minus sign (-), we really need to ___________ them to simplify into one log expression.

When you have two log expressions separated by a plus sign (+), we really need to ___________ them to simplify into one log expression.

Re-Write the Logarithm Equation into Exponential Form
log_hw = d

Evaluate the following logarithm:

log₃27

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Popular Resources on Wayground

Discover more resources for Mathematics

M4 Unit 3 Logs Review

Logarithmic functions are the inverse of...

Condense: log16 + log2 - log8

log⁡(m3n)\log\left(\frac{m^3}{n}\right)log(nm3​)

log⁡(8xyz) \log\left(\frac{8x}{yz}\right)\ log(yz8x​)

Change to Exponential Form:log636 = 2

Evaluate log41

When you have two log expressions separated by a minus sign (-), we really need to ___________ them to simplify into one log expression.

When you have two log expressions separated by a plus sign (+), we really need to ___________ them to simplify into one log expression.

Re-Write the Logarithm Equation into Exponential Formloghw = d

Evaluate the following logarithm:log327

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Similar Resources on Wayground

Popular Resources on Wayground

Discover more resources for Mathematics

$\log\left(\frac{m^3}{n}\right)$

$\log\left(\frac{8x}{yz}\right)\$

Change to Exponential Form:
log₆36 = 2

Evaluate log₄1

Re-Write the Logarithm Equation into Exponential Form
log_hw = d

Evaluate the following logarithm:

log₃27