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

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

Logarithm

Authored by Dilshad Thebo

Mathematics

9th - 12th Grade

CCSS covered

Used 94+ times

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23 questions

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MULTIPLE CHOICE QUESTION

1 min • 1 pt

Rewrite 3⁴ = 81 in logarithmic form.

log₃4 = 81

log₈₁3 = 4

log₃81 = 4

log₄81 = 3

Tags

CCSS.HSF.BF.B.5

MULTIPLE CHOICE QUESTION

1 min • 1 pt

The common logarithm has what base?

-e

Tags

CCSS.HSF.BF.B.5

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Write log₃ 81 = 4 in exponential form.

81⁴=3

81³=4

4³=81

3⁴=81

Tags

CCSS.HSF.BF.B.5

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Rewrite log_b(xⁿ)

nlog_bx

(log_bx)ⁿ

xⁿlog_bx

log_b(xⁿ)

Tags

CCSS.HSF.BF.B.5

CCSS.HSA.SSE.B.3

CCSS.HSA.SSE.A.2

CCSS.HSF.IF.C.8

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Evaluate log_b(b)

-1

Tags

CCSS.HSF.BF.B.5

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Write 10⁴= 10000 in logarithmic form.

log₁₀ 4 = 10000

log₁₀₀₀₀ 4 = 10

log₁₀ 10000 = 4

log₄ 10000 = 10

Tags

CCSS.HSF.BF.B.5

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Expand the following logarithm:
log₂ 6/y

log₂ 6 - log₂ y

log₂ y - log₂ 6

2log 6 + 2log y

log₂ 6 - y

Tags

CCSS.HSA.SSE.B.3

CCSS.HSA.SSE.A.2

CCSS.HSF.IF.C.8

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Is the following true or false?
$\log_6\left(10\right)+\log_6\left(4\right)=\log_6\left(40\right)$

True

False

Tags

CCSS.HSF.BF.B.5

MULTIPLE CHOICE QUESTION

1 min • 1 pt

$\log_91=$ ___________

Tags

CCSS.HSF.BF.B.5

10.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Which is the power property of logarithms?

$\log_b\left(x\cdot y\right)=\log_bx\ +\log_by$

$\log_b\left(\frac{x}{y}\right)\ =\ \log_bx\ -\log_by$

$\log_b\ x^n\ =n\log_bx$

Tags

CCSS.HSF.BF.B.5

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Logarithm

Rewrite 34 = 81 in logarithmic form.

The common logarithm has what base?

Write log3 81 = 4 in exponential form.

Rewrite logb(xn)

Evaluate logb(b)

Write 104= 10000 in logarithmic form.

Expand the following logarithm: log2 6/y

Is the following true or false? log⁡6(10)+log⁡6(4)=log⁡6(40)\log_6\left(10\right)+\log_6\left(4\right)=\log_6\left(40\right)log6​(10)+log6​(4)=log6​(40)

log⁡91=\log_91=log9​1= ___________

Which is the power property of logarithms?

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Discover more resources for Mathematics

Rewrite 3⁴ = 81 in logarithmic form.

Write log₃ 81 = 4 in exponential form.

Rewrite log_b(xⁿ)

Evaluate log_b(b)

Write 10⁴= 10000 in logarithmic form.

Expand the following logarithm:
log₂ 6/y

Is the following true or false?
$\log_6\left(10\right)+\log_6\left(4\right)=\log_6\left(40\right)$

$\log_91=$ ___________